Question

evaluate using suitable identity: 75²-25²​

Answer 1

Answer:

I THINK

(a-b)2= a2+b2-2ab

Step-by-step explanation:

Answer 2

Answer:

By identity,

$\boxed{a^2 - b^2 = (a+b)(a-b)}$

$\implies 75^2 - 25^2 = (75+25)(75-25)$

$\implies 75^2 - 25^2 = (100)(50)$

$\implies 75^2 - 25^2 = 5000$

Verification:

$75^2 - 25^2$

$\implies 5625 - 625$

$\implies 5000$

$\boxed{\implies{\boxed{Hence \ 75^2 - 25^2 = 5000}}}$