Question

What is the expression 4x^2 - 25 is equivalent to

Answer 1

`\large\boxed{4x^2-25=(2x-5)(2x+5)}`

Explanation:

`a^2-b^2=(a-b)(a+b)\\\\4x^2-25=2^2x^2-5^2\qquad\text{use}\ (ab)^n=a^nb^n\\\\=(2x)^2-5^2=(2x-5)(2x+5)`