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

Apply Distributive Property: Apply the distributive property to multiply the first term of the first binomial by each term of the second binomial. Calculation: (2r - 3)(r) + (2r - 3)(-3) Math error check: Multiply Terms: Multiply 2r by r and 2r by -3. Calculation: 2r * r = 2r^2 and 2r * -3 = -6r Math error check: Combine Results: Multiply -3 by r and -3 by -3. Calculation: -3 * r = -3r and -3 * -3 = 9 Math error check: Combine Like Terms: Combine the results from Step 2 and Step 3. Calculation: 2r^2 - 6r - 3r + 9 Math error check: Combine like terms. Calculation: 2r^2 - 9r + 9 Math error check:

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Math Problems

Algebra 1

Multiply polynomials

Full solution

Q. Find the product. Simplify your answer.

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(2r - 3)(r - 3)

Apply Distributive Property: Apply the distributive property to multiply the first term of the first binomial by each term of the second binomial. $\newline$ Calculation: $(2r - 3)(r) + (2r - 3)(-3)$ $\newline$ Math error check:
Multiply Terms: Multiply $2r$ by $r$ and $2r$ by $-3$ . $\newline$ Calculation: $2r \times r = 2r^2$ and $2r \times -3 = -6r$ $\newline$ Math error check:
Combine Results: Multiply $-3$ by $r$ and $-3$ by $-3$ . $\newline$ Calculation: $-3 \times r = -3r$ and $-3 \times -3 = 9$ $\newline$ Math error check:
Combine Like Terms: Combine the results from Step $2$ and Step $3$ . $\newline$ Calculation: $2r^2 - 6r - 3r + 9$ $\newline$ Math error check:
Combine Like Terms: Combine the results from Step $2$ and Step $3$ . $\newline$ Calculation: $2r^2 - 6r - 3r + 9$ $\newline$ Math error check: Combine like terms. $\newline$ Calculation: $2r^2 - 9r + 9$ $\newline$ Math error check: