Question

question 8 of 10 which of the binomials below is a factor of this expression? 4x^{2}-25y^{2}? a. 4x^{2}-5y^{2}? b. 2x^{2}-5y^{2}? c. 4x - 5y? d. 2x - 5y?

Explanation:

Step1: Recognize difference - of - squares

The expression $4x^{2}-25y^{2}z^{2}$ is in the form $a^{2}-b^{2}$, where $a = 2x$ and $b=5yz$.

Step2: Apply difference - of - squares formula

The difference - of - squares formula is $a^{2}-b^{2}=(a + b)(a - b)$. So, $4x^{2}-25y^{2}z^{2}=(2x + 5yz)(2x-5yz)$.

Answer:

D. $2x - 5yz$