Find the product. Simplify your answer. (2a + 2)(2a + 3) ______

Identify Problem Structure: Identify the structure of the problem. We need to find the product of two binomials, which is in the form of (a + b)(c + d).Apply Distributive Property: Apply the distributive property (also known as the FOIL method for binomials) to multiply the two binomials. (2a + 2)(2a + 3) = 2a * 2a + 2a * 3 + 2 * 2a + 2 * 3Perform Multiplication: Perform the multiplication for each term. 2a * 2a = 4a^2 2a * 3 = 6a 2 * 2a = 4a 2 * 3 = 6Combine Like Terms: Combine like terms. 4a^2 + 6a + 4a + 6 = 4a^2 + (6a + 4a) + 6 = 4a^2 + 10a + 6

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Find the product. Simplify your answer. $\newline$ $(2a + 2)(2a + 3)$

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Algebra 1

Multiply two binomials: special cases

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Q. Find the product. Simplify your answer.

\newline

(2a + 2)(2a + 3)

Identify Problem Structure: Identify the structure of the problem. $\newline$ We need to find the product of two binomials, which is in the form of a + b)(c + d)\.
Apply Distributive Property: Apply the distributive property (also known as the FOIL method for binomials) to multiply the two binomials.\(\newline $(2a + 2)(2a + 3) = 2a \times 2a + 2a \times 3 + 2 \times 2a + 2 \times 3$
Perform Multiplication: Perform the multiplication for each term. $\newline$ $2a \times 2a = 4a^2$ $\newline$ $2a \times 3 = 6a$ $\newline$ $2 \times 2a = 4a$ $\newline$ $2 \times 3 = 6$
Combine Like Terms: Combine like terms. $\newline$ $4a^2 + 6a + 4a + 6 = 4a^2 + (6a + 4a) + 6 = 4a^2 + 10a + 6$