Question

Factorize the following​

Answer 1

$\blue{hope \: it \: helps}$

Answer 2

$\huge\mathbb{\red{\underline{\blue{ANSWER:-}}}}$

$\boxed{\red{\sf{\underline{(8x+5z-4)(8x-5z-4)}}}}$

$\huge\mathtt{\underline{\underline{\red{SOLUTION:-}}}}$

we have given in the question :-

$\sf 16(2x-1){}^{2}-25z{}^{2}$

$\sf{\purple{Let (2x-1)= x}}$

The. put this value:-

$\sf 16x{}^{2}-25z{}^{2}$

$\mathtt{\underline{\red{According\:to\: question:-}}}$

$\boxed{\sf{identity used :-}}$

$\sf a{}^{2}-b{}^{2}\\ \\ \sf\implies (a+b)(a-b)$

Now in the place of a=4 and b=5

Then the solution:-

$\sf 16x{}^{2}- 25z{}^{2}\\ \\ \sf\implies(4x){}^{2}-(5z){}^{2}\\ \\ \sf\implies (4x+5z)(4x-5y)$

Now put the value of x which is

(2x-1)

$\sf [4(2x-1)+5z][4(2x-1)-5z]\\ \\ \sf\implies (8x+5z-4)(8x-5z-4)$

$\boxed{\red{\bf{\underline{(8x+5z-4)(8x-5z-4)}}}}$

#Answerwithquality

#BAL