Factor the polynomial completely. $64 - 25 y ^ { 2 }$
A)(8 + y )(8 + 5 y )
B)(8 - 5 y )(8 + 5 y )
C)(64 - 5 y )(64 + 5 y )
D)(8 - 25 y )(8 + 25 y )
E)none of these

Question

Quizplus · Accepted Answer

This polynomial is in the form of a difference of squares, with 64 being a perfect square of 8 and $25y^2$ being a perfect square of $5y$. Therefore, we can use the formula $a^2-b^2=(a+b)(a-b)$ to factor it into $(8+5y)(8-5y)$.

Factor the Polynomial Completely 64−25y264 - 25 y ^ { 2 }64−25y2

Factor the Polynomial Completely $64 - 25 y ^ { 2 }$