SIMPLIFYING BINOMIALS
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(x+2)(x-4)(x+2)
First, multiply x + 2 by x - 4
- F: (x)(x) = x^2
- O: (x)(-4) = -4x
- I: (2)(x) = 2x
- L: (2)(-4) = -8
= x^2 - 4x + 2x - 8
= x^2 - 2x - 8
Next, multiply x^2 - 2x - 8 by x + 2
= (x^2 • x) + (x^2 • 2) + (-2x • x) + (-2x • 2) + (-8 • x) + (-8 • 2)
= x^3 + 2x^2 - 2x^2 - 4x - 8x - 16
= x^3 - 4x - 8x - 16
= x^3 - 12x - 16
↬ Hence, the answer is x^3 - 12x - 16
