SOLUTION: Find an expression equivalent to 25x^2+144+27x^3+125y^3. One of the following expressions is the correct answer. Which one is correct? A) (5x+12)(5x-12)+(3x+5y)(3x^2-15xy+5y^

Algebra ->  Expressions -> SOLUTION: Find an expression equivalent to 25x^2+144+27x^3+125y^3. One of the following expressions is the correct answer. Which one is correct? A) (5x+12)(5x-12)+(3x+5y)(3x^2-15xy+5y^      Log On


   

Question 1199112: Find an expression equivalent to 25x^2+144+27x^3+125y^3.
One of the following expressions is the correct answer. Which one is correct?
A) (5x+12)(5x-12)+(3x+5y)(3x^2-15xy+5y^2)
B) (5x-12i)(5x-12i)+(3x-5y)(9x^2+15xy+25y^2)
C) (5x-12)(5x-12)+(3x-5y)(3x^2+15xy+5y^2
D) (5x+12i)(5x-12i)+(3x+5y)(9x^2-15xy+25y^2)
Answer by greenestamps(13200) About Me  (Show Source):
You can put this solution on YOUR website!


Use two common factoring patterns.

(1) a%5E2%2Bb%5E2=%28a%2Bbi%29%28a-bi%29 --> 25x%5E2%2B144=%285x%29%5E2%2B%2812%29%5E2=%285x%2B12i%29%285x-12i%29

(2) a%5E3%2Bb%5E3=%28a%2Bb%29%28a%5E2-ab%2Bb%5E2%29 -->

ANSWER: D