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PSLE Foundation Mathematics

Factorise completely $10ax-5ay+4by-8bx$.

Multiplication and Division of Algebraic Fractions

Factorisation by Grouping

Factorisation and algebraic simplification

Algebraic Expressions, Identities and Formulae

<p>Factorise the following expression completely</p>
<p style="text-align: center">$a^2-b^2+3b-3a$</p>

Factorise the following expression completely

Factorisation by Special Identities

Quadratic Functions, Equations and Inequalities

<p>Factorise completely $x^2y + y^2z + z^2x + xy^2 + yz^2 + zx^2 + 3xyz$.</p>

Factorise completely $x^2y + y^2z + z^2x + xy^2 + yz^2 + zx^2 + 3xyz$.

IP1U4 SWII (Further App. of Alg. Id.) Q19

<ol class="i-list"><li><div class="list-item-content"><span class="list-item-text">Factorise completely $6a^2 - 3ab + 8ba - 4b^2$.</span><span class="inline-marks">[2]</span></div></li><li><div class="list-item-content"><span class="list-item-text">Factorise completely $10x^2 - 4xy - 5yx + 2y^2$.</span><span class="inline-marks">[2]</span></div></li><li><div class="list-item-content"><span class="list-item-text">Factorise completely $64a^3 - 4a$,</span><span class="inline-marks">[2]</span></div></li><li><div class="list-item-content"><span class="list-item-text">Factorise completely $25x^2 - 70xy + 49y^2$.</span><span class="inline-marks">[2]</span></div></li></ol>

Factorise completely $6a^2 - 3ab + 8ba - 4b^2$.

Factorise completely $10x^2 - 4xy - 5yx + 2y^2$.

Factorise completely $25x^2 - 70xy + 49y^2$.

IP1 Class Test (May 2025) Q10

<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 Taking Common Factors

Factorisation Through Grouping and Special Identities

<p>Factorise $12f-40fg+10g-3$ completely.</p>

Systematic Factorisation of Multi-Term Expressions

<p>Factorise the following completely.</p>
<p>$2{{a}^{2}}+3h-2ah-3a$</p>

Factorisation of Polynomial and Multivariable Expressions

<p>Factorise $5mx-10m-3x+6$ completely.</p>

Factorising Multivariable Polynomial Expressions

<p>Factorise completely $4ax+12bx-a-3b$.</p>

Factorisation by Grouping and Common Factors

<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>

Factorise each of the following expressions completely.

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 ${{a}^{2}}-{{b}^{2}}+5a+3b+4$ completely.</p>

Factorise ${{a}^{2}}-{{b}^{2}}+5a+3b+4$ completely.

IP2U3 HOT Q5

<p>Factorise $\left( xy+1 \right)\left( x+1 \right)\left( y+1 \right)+xy$ completely.</p>

Factorise $\left( xy+1 \right)\left( x+1 \right)\left( y+1 \right)+xy$ completely.

IP2U3 HOT Q3

<ol class="abc-list"><li><div class="list-item-paragraph">Factorise completely $3{{p}^{4}}-4{{p}^{3}}q-20{{q}^{2}}+15pq$.</div><p style="text-align: right;">[2]</p></li><li><div class="list-item-paragraph">Rearrange the formula $a=k\sqrt{\frac{a+1}{b}}$ to make $b$ the subject.</div><p style="text-align: right;">[3]</p></li></ol>

Changing the Subject of a Formula

2023 AISS S3 EM P1 Q8

<p>Factorise each of the following expressions completely.</p>
<ol class="abc-list"><li><div class="list-item-paragraph">$3x+6y-{{x}^{2}}-2xy$</div></li><li><div class="list-item-paragraph">$4{{x}^{2}}+2xz-2xy-yz$</div></li><li><div class="list-item-paragraph">$2{{p}^{2}}+4pq-3qp-6{{q}^{2}}$</div></li><li><div class="list-item-paragraph">$6ax+10ay+12bx+20by$</div></li></ol>

Factorising Algebraic Expressions by Grouping

<p>Factorise each of the following expressions completely.</p>
<ol class="abc-list"><li><div class="list-item-paragraph">$4{{a}^{2}}+2ab-10a-5b$</div></li><li><div class="list-item-paragraph">$5xy-10x-y+2$</div></li><li><div class="list-item-paragraph">${{x}^{3}}-2{{x}^{2}}+2x-4$</div></li><li><div class="list-item-paragraph">$3ac-6ad-5bc+10bd$</div></li></ol>

Factorising Algebraic Expressions Completely

<p>Factorise completely</p>
<ol class="abc-list"><li><div class="list-item-paragraph">${7x + 21xy}$</div><p style="text-align: right;">[1]</p></li><li><div class="list-item-paragraph">${3ax + 16y - 12ay - 4x}$</div><p style="text-align: right;">[2]</p></li></ol>

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