Use the Distributive Property to rewrite the polynomial (x+8)(x−2) ( x + 8 ) ( x − 2 ) .
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
To rewrite the polynomial (x+8)(x−2) using the Distributive Property, we need to multiply each term of the first binomial by each term of the second binomial and then combine like terms.
(x + 8)(x - 2) = x(x) + x(-2) + 8(x) + 8(-2)
Now, let's simplify each term:
1. x(x) = x^2
2. x(-2) = -2x
3. 8(x) = 8x
4. 8(-2) = -16
Combining all the terms, we get:
x^2 - 2x + 8x - 16
Finally, simplifying further, we obtain:
x^2 + 6x - 16
To rewrite the polynomial (x+8)(x-2) using the Distributive Property, we need to distribute each term in the first set of parentheses to each term in the second set of parentheses. This can be done by multiplying each term in the first set of parentheses by each term in the second set of parentheses.
Let's start by distributing the x term:
(x+8)(x-2) = x(x-2) + 8(x-2)
Now, let's simplify each part of the equation:
1. Distributing x to both terms in the second parentheses:
x(x-2) = x*x - x*2 = x^2 - 2x
2. Distributing 8 to both terms in the second parentheses:
8(x-2) = 8*x - 8*2 = 8x - 16
Putting the two simplified parts together, we have:
(x+8)(x-2) = x^2 - 2x + 8x - 16
Now, we can combine like terms:
(x+8)(x-2) = x^2 + 6x - 16
Therefore, using the Distributive Property, the rewritten form of (x+8)(x-2) is x^2 + 6x - 16.