Answers

2014-01-08T17:40:33+08:00
Simplifying (x + 2)(x + -4)(x + 2)
Reorder the terms: (2 + x)(x + -4)(x + 2)
Reorder the terms: (2 + x)(-4 + x)(x + 2)
Reorder the terms: (2 + x)(-4 + x)(2 + x)
Multiply (2 + x) * (-4 + x)
(2(-4 + x) + x(-4 + x))(2 + x)
((-4 * 2 + x * 2) + x(-4 + x))(2 + x)
((-8 + 2x) + x(-4 + x))(2 + x)
 (-8 + 2x + (-4 * x + x * x))(2 + x)
 (-8 + 2x + (-4x + x2))(2 + x)
 
Combine like terms: 2x + -4x = -2x
 (-8 + -2x + x2)(2 + x)
 
Multiply (-8 + -2x + x2) * (2 + x)
(-8(2 + x) + -2x * (2 + x) + x2(2 + x))
 ((2 * -8 + x * -8) + -2x * (2 + x) + x2(2 + x))
 ((-16 + -8x) + -2x * (2 + x) + x2(2 + x))
(-16 + -8x + (2 * -2x + x * -2x) + x2(2 + x))
(-16 + -8x + (-4x + -2x2) + x2(2 + x))
 (-16 + -8x + -4x + -2x2 + (2 * x2 + x * x2))
 (-16 + -8x + -4x + -2x2 + (2x2 + x3))
 
Combine like terms: -8x + -4x = -12x
(-16 + -12x + -2x2 + 2x2 + x3)
 
Combine like terms: -2x2 + 2x2 = 0
 (-16 + -12x + 0 + x3)
 
(-16 + -12x + x3)


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