SOLUTION: This problem states to factor each expression, I do not see how the derived. Here is the problem: ax^3 + bx^3 + 2ax^2y + 2bx^2y This is the answer from the book: x^2(a + b)

Algebra ->  Quadratic Equations and Parabolas  -> Quadratic Equation Customizable Word Problems -> SOLUTION: This problem states to factor each expression, I do not see how the derived. Here is the problem: ax^3 + bx^3 + 2ax^2y + 2bx^2y This is the answer from the book: x^2(a + b)      Log On


   

Question 6254: This problem states to factor each expression, I do not see how the derived.
Here is the problem:
ax^3 + bx^3 + 2ax^2y + 2bx^2y
This is the answer from the book: x^2(a + b)(x + 2y)
Please show me the steps to get this answer.
Help.
tsj
Answer by Earlsdon(6294) About Me  (Show Source):
You can put this solution on YOUR website!
Factor:
ax^3 + bx^3 + 2ax^2y + 2bx^2y First, factor the x^2
x^2(ax + bx + 2ay + 2by) Now group the x-terms and the y-terms.
x^2((ax + bx) + (2ay + 2by)) Now, factor the x from the first group and 2y from the second group.
x^2(x(a + b) + 2y(a + b)) Now factor the (a + b)
x^2(a + b)(x + 2y)