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simplify the expressions

 

(x+2)(x-4)(x+2)

Sagot :

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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