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Expand and simplify the expression: (x+2)(x-4)

Mathematics

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Answer

x2−2x−8x^2 - 2x - 8

Step-by-step solution

2 steps

  1. Expand the expression using the distributive property (FOIL method).

    Multiply the first terms, outer terms, inner terms, and last terms.

    (x+2)(x−4)=x⋅x+x⋅(−4)+2⋅x+2⋅(−4)(x+2)(x-4) = x \cdot x + x \cdot (-4) + 2 \cdot x + 2 \cdot (-4) =x2−4x+2x−8= x^2 - 4x + 2x - 8

  2. Combine the like terms.

    =x2+(−4x+2x)−8= x^2 + (-4x + 2x) - 8 =x2−2x−8= x^2 - 2x - 8

    The simplified expression is:

    x2−2x−8x^2 - 2x - 8
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