9514 1404 393
Answer:
- 132v^2, -v
- 24v^6, -2v^3
- 18v^12, 7v^6
- -56v^14, -15v^7
- 3v^20, -2v^10
Explanation:
The product is the product of the numbers, multiplied by the product of the variable factors. The variable is the same in every term, so the product of the variable factors will have an exponent that is the sum of the exponents.
The difference will have a coefficient that is the difference of the coefficients.
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(11v)(12v) = 132v^2 . . . . 11v -12v = -v
(4v^3)(6v^3) = 24v^6 . . . . 4v^3 -6v^3 = -2v^3
(9v^6)(2v^6) = 18v^12 . . . . 9v^6 -2v^6 = 7v^6
(-8v^7)(7v^7) = -56v^14 . . . . -8v^7 -7v^7 = -15v^7
(-3v^10)(-v^10) = 3v^20 . . . . -3v^10 -(-v^10) = -2v^10