Asked by Cheeks
Use the Distributive Property to rewrite the polynomial (x+8)(x−2) ( x + 8 ) ( x − 2 ) .
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Answered by
GPT 3.5
To rewrite the polynomial using the distributive property, we need to multiply each term in the first parentheses by each term in the second parentheses:
(x+8)(x−2) = x(x−2) + 8(x−2)
Next, we can distribute the first term "x" to both terms in the second parentheses:
= x(x) + x(-2) + 8(x) + 8(-2)
Simplifying further:
= x^2 - 2x + 8x - 16
Finally, combining like terms:
= x^2 + 6x - 16
(x+8)(x−2) = x(x−2) + 8(x−2)
Next, we can distribute the first term "x" to both terms in the second parentheses:
= x(x) + x(-2) + 8(x) + 8(-2)
Simplifying further:
= x^2 - 2x + 8x - 16
Finally, combining like terms:
= x^2 + 6x - 16
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