Multiple the polynomials (3x^2+4x+4) (2x-4)
2 answers:
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▹ Answer
6x³ - 4x² - 8x - 16
▹ Step-by-Step Explanation
(3x² + 4x + 4) (2x - 4)
<u>Distribute</u>
3x²(2x - 4) + 4x(2x - 4) + 4(2x - 4)
<u>Remove parentheses</u>
6x³ - 12x² + 4x(2x - 4) + 4(2x - 4)
<u>Collect like terms</u>
6x³ - 12x² + 8x² - 16x + 8x - 16
6x³ - 4x² - 16x + 8x - 16
<u>Solve</u>
6x³ - 4x² - 8x - 16
Hope this helps!
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Answer:
6x³ - 4x² - 8x - 16
Step-by-step explanation:
Step 1: Distribute the 2x
6x³ + 8x² + 8x
Step 2: Distribute the -4
-12x² - 16x - 16
Step 3: Combine the 2 distributions
6x³ + 8x² + 8x - 12x² - 16x - 16
Step 4: Combine like terms
6x³
8x² - 12x² = -4x²
8x - 16x = -8x
-16
Step 5: Rewrite
6x³ - 4x² - 8x - 16
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