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

Identify Problem Structure: Write down the problem to identify the structure. We have the expression (2j + 4)(2j - 2) which is a product of two binomials.Apply Distributive Property: Apply the distributive property (also known as the FOIL method for binomials) to multiply the two binomials. (2j + 4)(2j - 2) = 2j * 2j + 2j * (-2) + 4 * 2j + 4 * (-2)Perform Multiplication: Perform the multiplication for each term. = 4j^2 - 4j + 8j - 8Combine Like Terms: Combine like terms. = 4j^2 + 4j - 8Check for Simplification: Check for any possible simplification or factoring. The expression 4j^2 + 4j - 8 cannot be factored further, so this is the simplified form.

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Find the product. Simplify your answer. $\newline$ $(2j + 4)(2j - 2)$

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Math Problems

Algebra 1

Multiply two binomials: special cases

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Q. Find the product. Simplify your answer.

\newline

(2j + 4)(2j - 2)

Identify Problem Structure: Write down the problem to identify the structure. $\newline$ We have the expression $(2j + 4)(2j - 2)$ which is a product of two binomials.
Apply Distributive Property: Apply the distributive property (also known as the FOIL method for binomials) to multiply the two binomials. $\newline$ $(2j + 4)(2j - 2) = 2j \times 2j + 2j \times (-2) + 4 \times 2j + 4 \times (-2)$
Perform Multiplication: Perform the multiplication for each term. $\newline$ $= 4j^2 - 4j + 8j - 8$
Combine Like Terms: Combine like terms. $\newline$ $= 4j^2 + 4j - 8$
Check for Simplification: Check for any possible simplification or factoring. $\newline$ The expression $4j^2 + 4j - 8$ cannot be factored further, so this is the simplified form.