Find the product. Simplify your answer. (a - 1)(4a + 2) ______

Apply Distributive Property: Apply the distributive property to multiply the two binomials. (a - 1)(4a + 2) = a(4a + 2) - 1(4a + 2)Multiply 'a' Terms: Multiply 'a' by each term in the binomial (4a + 2). a(4a + 2) = a(4a) + a(2) = 4a^2 + 2aMultiply '-1' Terms: Multiply '-1' by each term in the binomial (4a + 2). -1(4a + 2) = -1(4a) - 1(2) = -4a - 2Combine Results: Combine the results from Step 2 and Step 3. (4a^2 + 2a) + (-4a - 2) = 4a^2 + 2a - 4a - 2Combine Like Terms: Combine like terms. 4a^2 + 2a - 4a - 2 = 4a^2 - 2a - 2

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Find the product. Simplify your answer. $\newline$ $(a - 1)(4a + 2)$

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Math Problems

Algebra 1

Multiply two binomials

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Q. Find the product. Simplify your answer.

\newline

(a - 1)(4a + 2)

Apply Distributive Property: Apply the distributive property to multiply the two binomials. $\newline$ $(a - 1)(4a + 2) = a(4a + 2) - 1(4a + 2)$
Multiply 'a' Terms: Multiply $a$ by each term in the binomial $(4a + 2)$ . $a(4a + 2) = a(4a) + a(2) = 4a^2 + 2a$
Multiply ' $-1$ ' Terms: Multiply $-1$ by each term in the binomial $(4a + 2)$ .\(-1( $4$ a + $2$ ) = $-1$ ( $4$ a) - $1$ ( $2$ ) = $-4$ a - $2$
Combine Results: Combine the results from Step $2$ and Step $3$ . $\newline$ $(4a^2 + 2a) + (-4a - 2) = 4a^2 + 2a - 4a - 2$
Combine Like Terms: Combine like terms. $4a^2 + 2a - 4a - 2 = 4a^2 - 2a - 2$