Question

How do you factorize 36squared - 49squared?

Answer 1

`(36-49)(36+49)`

or

`(6^2-7^2)(6^2+7^2)`

Explanation:

`36^2-49^2` is the difference of perfect squares so we can use the rule:

`a^2-b^2 = (a+b)(a-b)`

`(36-49)(36+49) = (-13)(85) =-1105`