Brewer Chadwick
09/03/2023 · Junior High School
Multiply. \[ (3-4 x)(3-7 x) \] Simplify your answer.
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Step-by-step Solution
Calculate or simplify the expression \( (3-4x)(3-7x) \).
Simplify the expression by following steps:
- step0: Solution:
\(\left(3-4x\right)\left(3-7x\right)\)
- step1: Apply the distributive property:
\(3\times 3-3\times 7x-4x\times 3-\left(-4x\times 7x\right)\)
- step2: Multiply the numbers:
\(9-21x-12x-\left(-28x^{2}\right)\)
- step3: Remove the parentheses:
\(9-21x-12x+28x^{2}\)
- step4: Subtract the terms:
\(9-33x+28x^{2}\)
The simplified form of the expression \((3-4x)(3-7x)\) is \(9-33x+28x^{2}\).
Quick Answer
\( 9-33x+28x^{2} \)
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