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evablogger [386]
3 years ago
14

What is the product? (3x-6) (2x^2 -7x+1)

Mathematics
2 answers:
STALIN [3.7K]3 years ago
4 0

<u>Answer-</u>

\left(3x-6\right)\left(2x^2-7x+1\right)=6x^3-33x^2+45x-6

<u>Solution-</u>

Given the two polynomials are 3x-6, 2x^2 -7x+1

So their product will be,

=\left(3x-6\right)\left(2x^2-7x+1\right)

Distributing the Parentheses,

=3x\cdot \:2x^2+3x\left(-7x\right)+3x\cdot \:1+\left(-6\right)\cdot \:2x^2+\left(-6\right)\left(-7x\right)+\left(-6\right)\cdot \:1

Applying minus-plus rules,

=3\cdot \:2x^2x-3\cdot \:7xx+3\cdot \:1\cdot \:x-6\cdot \:2x^2+6\cdot \:7x-6\cdot \:1

Simplifying further,

=6x^3-33x^2+45x-6

Colt1911 [192]3 years ago
3 0
(3x - 6)(2x² - 7x + 1)
3x(2x² - 7x + 1) - 6(2x² - 7x + 1)
3x(2x²) - 3x(7x) + 3x(1) - 6(2x²) + 6(7x) - 6(1)
6x³ - 21x² + 3x - 12x² + 42x - 6
6x³ - 21x² - 12x² + 3x + 42x - 6
6x³ - 33x² + 45x - 6
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