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

Apply Distributive Property: Apply the distributive property to multiply the two binomials. We need to multiply each term in the first binomial by each term in the second binomial. (y - 3)(2y + 3) = y(2y) + y(3) - 3(2y) - 3(3)Perform Multiplication: Perform the multiplication for each term. y(2y) = 2y^2 y(3) = 3y -3(2y) = -6y -3(3) = -9Combine Like Terms: Combine like terms. Now we add the results of the multiplications together, combining the y terms. 2y^2 + 3y - 6y - 9Simplify Expression: Simplify the expression by combining like terms. 2y^2 + 3y - 6y = 2y^2 - 3y So the final simplified expression is: 2y^2 - 3y - 9

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

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Math Problems

Algebra 1

Multiply two binomials

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Q. Find the product. Simplify your answer.

\newline

(y - 3)(2y + 3)

Apply Distributive Property: Apply the distributive property to multiply the two binomials. $\newline$ We need to multiply each term in the first binomial by each term in the second binomial. $\newline$ $(y - 3)(2y + 3) = y(2y) + y(3) - 3(2y) - 3(3)$
Perform Multiplication: Perform the multiplication for each term. $\newline$ $y(2y) = 2y^2$ $\newline$ $y(3) = 3y$ $\newline$ $-3(2y) = -6y$ $\newline$ $-3(3) = -9$
Combine Like Terms: Combine like terms. $\newline$ Now we add the results of the multiplications together, combining the $y$ terms. $\newline$ $2y^2 + 3y - 6y - 9$
Simplify Expression: Simplify the expression by combining like terms. $\newline$ $2y^2 + 3y - 6y = 2y^2 - 3y$ $\newline$ So the final simplified expression is: $\newline$ $2y^2 - 3y - 9$