Question

Factorise-25x^2-10x+1-36y^2

Answer 1

Answer: By factorization of $\bold{25 x^{2}-10 x+1-36 y^{2}}$,we get ((5x-1) + 6y) ((5x-1) - 6y)

$25 x^{2}-10 x+1-36 y^{2}=(5 x)^{2}-2(5 x)+1^{2}-(6 y)^{2}$

We know that by formula, $(a-b)^{2}=a^{2}+b^{2}-2ab$  

$(5 x)^{2}-2(5 x)+1^{2}$ can be written as $(5 x-1)^{2}$

$25 x^{2}-10 x+1-36 y^{2}=(5 x-1)^{2}-(6 y)^{2}$

We know that by formula, $a^{2}-b^{2}=(a+b)(a-b)$

Hence $25 x^{2}-10 x+1-36 y^{2}$  = ((5x-1) + 6y) ((5x-1) - 6y)

Answer 2

Step-by-step explanation:

1. 25^2-10x+1-36y^2= (5x-1)2-(6y) 2=(5x-1+6y) (5x-1-6y)