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PSLE Foundation Mathematics

<p>Factorise each of the following expressions completely.</p>
<ol class="abc-list"><li><div class="list-item-content"><span class="list-item-text">\(-12m^2 - 16mn\)</span></div></li><li><div class="list-item-paragraph">\((3a^2 - 6ab) \ [x\ (2 - y) - 5x\ (3y + 1)]\)</div></li></ol>

Factorise each of the following expressions completely.

Factorisation by Taking Common Factors

Factorization of Algebraic Expressions

Algebraic Expressions, Identities and Formulae

<p>Factorise each of the following expressions completely.</p>
<ol class="abc-list"><li><div class="list-item-content"><span class="list-item-text">\(10p^2q - 25pq^2\)</span></div></li><li><div class="list-item-paragraph">\(21a\ (b - 1) - 14a\ (5b - 2)\)</div></li></ol>

<p>Factorise each of the following expressions completely.</p>
<ol class="abc-list"><li><div class="list-item-content"><span class="list-item-text">\(6x^2 - 12xy\)</span></div></li><li><div class="list-item-content"><span class="list-item-text">\(5x(2 - y) - 10x(3y + 4)\)</span></div></li></ol>

<p>Factorise each of the following expressions completely.</p>
<ol class="abc-list"><li><div class="list-item-content"><span class="list-item-text">\(14x + 28x(a - b)\)</span></div></li><li><div class="list-item-content"><span class="list-item-text">\(9m(m - n) - 6m\)</span></div></li></ol>

 Factorization of Algebraic Expressions

<p>Factorise each of the following expressions completely.</p>
<ol class="abc-list"><li><div class="list-item-content"><span class="list-item-text">\(2a(b - 4) - 6ax\)</span></div></li><li><div class="list-item-content"><span class="list-item-text">\(-15p - 18p(q - 3r)\)</span></div></li></ol>

<p>Factorise each of the following expressions completely.</p>
<ol class="abc-list"><li><div class="list-item-content"><span class="list-item-text">\(\frac{7}{4}ak - \frac{35}{3}ah - 21a\)</span></div></li><li><div class="list-item-content"><span class="list-item-text">\(-\frac{9}{2}xy + \frac{12}{5}xz - 6x\)</span></div></li></ol>

<p>Factorise each of the following expressions completely.</p>
<ol class="abc-list"><li><div class="list-item-content"><span class="list-item-text">\(\frac{15}{2}ax - \frac{25}{2}ay + 20a\)</span></div></li><li><div class="list-item-content"><span class="list-item-text">\(\frac{3}{2}uv - \frac{6}{5}up + 6uq\)</span></div></li></ol>

<p>Factorise each of the following expressions completely.</p>
<ol class="abc-list"><li><div class="list-item-content"><span class="list-item-text">\(-30hk + 60kp - 50kq\)</span></div></li><li><div class="list-item-content"><span class="list-item-text">\(-48am + 32an - 72a\)</span></div></li></ol>

<p>Factorise each of the following expressions completely.</p>
<ol class="abc-list"><li><div class="list-item-content"><span class="list-item-text">\(14ax - 7bx + 35x\)</span></div></li><li><div class="list-item-content"><span class="list-item-text">\(72ef + 30eg - 60e\)</span></div></li></ol>

<p>Factorise each of the following expressions completely.</p>
<ol class="abc-list"><li><div class="list-item-content"><span class="list-item-text">\(18a - 12\)</span></div></li><li><div class="list-item-content"><span class="list-item-text">\(60 - 10x\)</span></div></li><li><div class="list-item-content"><span class="list-item-text">\(-30 - 9x - 12ax\)</span></div></li></ol>

<p>Factorise each of the following expressions completely.</p>
<ol class="abc-list"><li><div class="list-item-content"><span class="list-item-text">\(14x + 49\)</span></div></li><li><div class="list-item-content"><span class="list-item-text">\(25 - 5y\)</span></div></li><li><div class="list-item-content"><span class="list-item-text">\(8x - 12ax + 6xy\)</span></div></li></ol>

<p>Factorise each of the following algebraic expressions:</p>
<ol class="abc-list"><li><div class="list-item-paragraph">\(6a{{p}^{2}}-9{{a}^{2}}{{p}^{3}}r\)</div></li><li><div class="list-item-paragraph">\(11y\left( m+3n \right)-4\left( 3n+m \right)\)</div></li><li><div class="list-item-paragraph">\(5d\left( b-2a \right)+4c\left( 2a-b \right)\)</div></li><li><div class="list-item-paragraph">\(12pq-4qr-3ps+rs\)</div></li><li><div class="list-item-paragraph">\(126{{a}^{2}}k{{n}^{2}}+54ah{{n}^{2}}-24ah-56{{a}^{2}}k\)</div></li></ol>

Factorise each of the following algebraic expressions:

Factorisation by Grouping

Factorisation by Special Identities

Factorisation Through Grouping and Special Identities

<p>Factorise each of the following expressions completely.</p>
<ol class="abc-list"><li><div class="list-item-paragraph">\(y\left( 2x-k \right)+3\left( k-2x \right)\)</div></li><li><div class="list-item-paragraph">\(-4pqr+6pq-2{{r}^{2}}+3r\)</div></li><li><div class="list-item-paragraph">\(8px-15ay-6py+20ax\)</div></li></ol>

Factorisation Using Grouping and Common Factors

<p>Factorise each of the following expressions completely.</p>
<ol class="abc-list"><li><div class="list-item-paragraph">\(7x\left( 4-y \right)-\left( y-4 \right)\)</div></li><li><div class="list-item-paragraph">\(xa-xb+3a-3b\)</div></li><li><div class="list-item-paragraph">\(14cx+10dy-4cy-35xd\)</div></li></ol>

Factorising Expressions Using Grouping Techniques

<p>Factorise each of the following expressions completely. </p>
<ol class="abc-list"><li><div class="list-item-paragraph">\(7ac-21bc-35c\)</div></li><li><div class="list-item-paragraph">\(5\left( x-8y \right)-3a\left( -8y+x \right)\)</div></li></ol>

Factorise each of the following expressions completely. 

Factorising Expressions Fully Using Common Factors

<p>Factorise each of the following expressions completely. </p>
<ol class="abc-list"><li><div class="list-item-paragraph">\(3c+3ac-18bc\)</div></li><li><div class="list-item-paragraph">\(n\left( m-4 \right)+5\left( m-4 \right)\)</div></li></ol>

Factorising Expressions Using Common Factors and Grouping

<p>Factorise each of the following expressions completely. </p>
<ol class="abc-list"><li><div class="list-item-paragraph">\(x\left( 3-y \right)+11\left( 3-y \right)\)</div></li><li><div class="list-item-paragraph">\(16xy-24x\)</div></li></ol>

<p>Factorise each of the following expressions completely. </p>
<ol class="abc-list"><li><div class="list-item-paragraph">\(4\left( x+3 \right)+10\left( x+3 \right)y\)</div></li><li><div class="list-item-paragraph">\(cd-ac+2c\)</div></li></ol>

Factorising Expressions by Common Factors and Grouping

<p>Factorise each of the following expressions completely. </p>
<ol class="abc-list"><li><div class="list-item-paragraph">\(4a\left( 3m-4 \right)-2b\left( 3m-4 \right)\)</div></li><li><div class="list-item-paragraph">\(3r\left( 2p-8q \right)+4r\left( p-4q \right)\)</div></li></ol>

Factorising Expressions by Taking Out Common Factors

<p>Factorise each of the following expressions completely. </p>
<ol class="abc-list"><li><div class="list-item-paragraph">\(3ap+9a\)</div></li><li><div class="list-item-paragraph">\(15ab-3b\)</div></li><li><div class="list-item-paragraph">\(-56ab-8a-16\)</div></li></ol>

Math Question Bank