Question
Factorise:
$25 x^2-10 x+1-36 y^2$
$25 x^2-10 x+1-36 y^2$
✓
Answer
$25 x^2-10 x+1-36 y^2$
$=\left(25 x^2-10 x+1\right)-36 y^2$
$=\left[(5 x)^2-2(5 x)(1)+(1)^2\right]-(6 y)^2$
$=(5 x-1)^2-(6 y)^2$
$=(5 x-1-6 y)(5 x-1+6 y)$
$=\left(25 x^2-10 x+1\right)-36 y^2$
$=\left[(5 x)^2-2(5 x)(1)+(1)^2\right]-(6 y)^2$
$=(5 x-1)^2-(6 y)^2$
$=(5 x-1-6 y)(5 x-1+6 y)$
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