Find the product. Simplify your answer. (4r - 4)(2r + 4) ______

Apply Distributive Property: First, we will apply the distributive property to multiply the two binomials. This involves multiplying each term in the first binomial by each term in the second binomial.Multiply Terms: Multiply the first term of the first binomial by both terms of the second binomial: 4r * 2r + 4r * 4. This gives us 8r^2 + 16r.Combine Results: Now, multiply the second term of the first binomial by both terms of the second binomial: -4 * 2r + -4 * 4. This gives us -8r - 16.Combine Like Terms: Combine the results of the multiplications to get a single expression: 8r^2 + 16r - 8r - 16.Combine like terms by adding or subtracting the coefficients of the same powers of r: 8r^2 + (16r - 8r) - 16. This simplifies to 8r^2 + 8r - 16.

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Math Problems

Algebra 1

Multiply polynomials

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Q. Find the product. Simplify your answer.

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(4r - 4)(2r + 4)

Apply Distributive Property: First, we will apply the distributive property to multiply the two binomials. This involves multiplying each term in the first binomial by each term in the second binomial.
Multiply Terms: Multiply the first term of the first binomial by both terms of the second binomial: $4r \times 2r + 4r \times 4$ . This gives us $8r^2 + 16r$ .
Combine Results: Now, multiply the second term of the first binomial by both terms of the second binomial: $-4 \times 2r + -4 \times 4$ . This gives us $-8r - 16$ .
Combine Like Terms: Combine the results of the multiplications to get a single expression: $8r^2 + 16r - 8r - 16$ .
Combine Like Terms: Combine the results of the multiplications to get a single expression: $8r^2 + 16r - 8r - 16$ .Combine like terms by adding or subtracting the coefficients of the same powers of $r$ : $8r^2 + (16r - 8r) - 16$ . $\newline$ This simplifies to $8r^2 + 8r - 16$ .