x² + 10x + 25 – 9y² I am asked to state if this polynomial is prime or to factor it. I can clearly see that you can take the SQRT of the equation, however, there is a 10x there that is not a perfect square. What am I doing wrong?

Question

x² + 10x + 25 – 9y²    I am asked to state if this polynomial is prime or to factor it. I can clearly see that you can take the SQRT of the equation, however, there is a 10x there that is not a perfect square. What am I doing wrong?

R_scott · Accepted Answer

(x + 5)^2 - (3 y)^2 ... factor the difference of squares