Question
Factorise the following using the identity $a^2- b^2= (a + b)(a - b).$
$ 28 a y^2-175 a x^2 $
$ 28 a y^2-175 a x^2 $
✓
Answer
$ 28 a y^2-175 a x^2 $
$ =7 a\left(4 y^2-25 x^2\right) $
$ =7 a\left[(2 y)^2-(5 x)^2\right] $
$ =7 a(2 y-5 x)(2 y+5 x) $
$ =7 a\left(4 y^2-25 x^2\right) $
$ =7 a\left[(2 y)^2-(5 x)^2\right] $
$ =7 a(2 y-5 x)(2 y+5 x) $
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