Question

please tell someone please explain to me ​

Answer 1

Question

Verify the following :-

$\sf (5x+8)^2-160x=(5x-8)^2$

Answer

$\sf LHS = (5x+8)^2-160x$

$\sf = (5x)^2 + 8^2 + 2(5x)(8) - 160x$

$\sf = 25x^2 + 64 + 80x - 160x$

$\sf = 25^2 + 64 - 80x$

$\sf RHS = (5x -8)^2$

$\sf = 25x^2 + 8^2 - 2(5x)(8)$

$\sf = 25x^2 + 64 - 80x$

$\sf 25^2 + 64 - 80x = 25^2 + 64 - 80x$

LHS = RHS

Hence verified.