Question
Multiply. \( (v-7)(2 v+9) \) \( (v-7)(2 v+9)=\square \) (Simplify your answer.)
Ask by Matthews Lang. in the United States
Feb 03,2025
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Answer
\( (v - 7)(2v + 9) = 2v^2 - 5v - 63 \)
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Beyond the Answer
To multiply \( (v-7)(2v+9) \), we use the distributive property (also known as the FOIL method for binomials). 1. First, multiply \( v \) by \( 2v \) to get \( 2v^2 \). 2. Next, multiply \( v \) by \( 9 \) to get \( 9v \). 3. Now, multiply \( -7 \) by \( 2v \) to get \( -14v \). 4. Finally, multiply \( -7 \) by \( 9 \) to get \( -63 \). Now, combine the like terms: \( 2v^2 + 9v - 14v - 63 = 2v^2 - 5v - 63 \). So, \( (v-7)(2v+9) = 2v^2 - 5v - 63 \).