Questions: Multiply. (5c-3)(3c+7) Simplify your answer.

Multiply. (5c-3)(3c+7) Simplify your answer.
Transcript text: Multiply. \[ (5 c-3)(3 c+7) \] Simplify your answer.
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Solution

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Solution Steps

Step 1: Apply the distributive property (FOIL method)

Multiply each term in the first binomial \( (5c - 3) \) by each term in the second binomial \( (3c + 7) \): \[ (5c)(3c) + (5c)(7) + (-3)(3c) + (-3)(7) \]

Step 2: Perform the multiplications

Calculate each multiplication separately: \[ 15c^2 + 35c - 9c - 21 \]

Step 3: Combine like terms

Combine the terms \( 35c \) and \( -9c \): \[ 15c^2 + 26c - 21 \]

The simplified expression is \( 15c^2 + 26c - 21 \).

Final Answer

\(\boxed{15c^2 + 26c - 21}\)

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