Factorise :
5x2−20x495x^2 - \dfrac{20x^4}{9}5x2−920x4
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5x2−20x49=5x2(1−4x29)=5x2(12−(2x3)2)5x^2 - \dfrac{20x^4}{9}\\[1em] = 5x^2\Big(1 - \dfrac{4x^2}{9}\Big)\\[1em] = 5x^2\Big(1^2 - \Big(\dfrac{2x}{3}\Big)^2\Big)\\[1em]5x2−920x4=5x2(1−94x2)=5x2(12−(32x)2)
Using the formula
[∵ (x2 - y2) = (x + y)(x - y)]
=5x2(1−2x3)(1+2x3)= 5x^2\Big(1 - \dfrac{2x}{3}\Big)\Big(1 + \dfrac{2x}{3}\Big)=5x2(1−32x)(1+32x)
Hence, 5x2−20x49=5x2(1−2x3)(1+2x3)5x^2 - \dfrac{20x^4}{9} = 5x^2\Big(1 - \dfrac{2x}{3}\Big)\Big(1 + \dfrac{2x}{3}\Big)5x2−920x4=5x2(1−32x)(1+32x)
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x2 - y2 - 2yz - z2
7a5 - 567a
Factorise xy2 - xz2, Hence, find the value of :
(i) 9 x 82 - 9 x 22
(ii) 40 x 5.52 - 40 x 4.52
(a - 3b)2 - 36 b2
