Use the Distributive Property to rewrite the polynomial (x+8)(x−2) ( x + 8 ) ( x − 2 ) .

Answer 1

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