Factorise each of the following expressions completely. $49a^2-70ab+25b^2$ $25x^2+10xy+y^2$ \(8a

Question

Factorise each of the following expressions completely.

$49a^2-70ab+25b^2$
$25x^2+10xy+y^2$
$8a^4b+24a^3b^2+18a^2b^3$
$\frac34px^2-\frac1{12}py^2$
$\left(a+\frac13b \right)^2-\frac{16}{9}b^2$
$20p^2-45q^2$
$9p^4-81q^4$
$75a^2b^2-300$
$\frac4{25}m^2-\frac35mn+\frac9{16}n^2$
$\left(\frac45x+\frac13y \right)^2-\left(\frac45x-\frac13y\right)^2$

Accepted Answer

(a) $(7a-5b)^2$; (b) $(5x+y)^2$; (c) $2a^2b(2a+3b)^2$; (d) $\frac{p}{12}(3x-y)(3x+y)$; (e) $(a-b)(a+\frac53b)$; (f) $5(2p-3q)(2p+3q)$; (g) $9(p^2-3q^2)(p^2+3q^2)$; (h) $75(ab-2)(ab+2)$; (i) $(\frac25m-\frac34n)^2$; (j) $\frac{16}{15}xy$.

Complete factorisation with special identities

Complete factorisation with special identities

Solution:

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