Question

which expression is equivalent to (5 - 2x)(5 + 2x)? a (25 - 2x)^2 b 25 - 4x^2 c (25 + 2x)^2 d 5 - 4x^2

Explanation:

Step1: Use the difference - of - squares formula

The difference - of - squares formula is $(a - b)(a + b)=a^{2}-b^{2}$. Here, $a = 5$ and $b = 2x$.
$(5 - 2x)(5 + 2x)=5^{2}-(2x)^{2}$

Step2: Simplify the expression

$5^{2}=25$ and $(2x)^{2}=4x^{2}$, so $5^{2}-(2x)^{2}=25 - 4x^{2}$.

Answer:

B. $25 - 4x^{2}$