Which of the following polynomials corresponds to the product of the multivariate polynomials 4x - 3y + 5 and x + 2y - -3?
Question
Answer:
If the second polynomial is x + 2y -3, we multiply(4x - 3y + 5) (x + 2y - 3)
We distribute each term of the first polynomial (4x - 3y + 5) to every term
of the second polynomial (x + 2y - 3):
(4x - 3y + 5) (x + 2y - 3) = 4x^2 + 8xy - 12x
- 3xy - 6y^2 + 9y
+ 5x + 10y - 15
Then combine similar terms:
(4x - 3y + 5) (x + 2y - 3) = 4x^2 - 6y^2 + 5xy - 7x + 19y - 15
If the second polynomial is x + 2y --3, we multiply
(4x - 3y + 5) (x + 2y + 3) = 4x^2 + 8xy + 12x
- 3xy - 6y^2 - 9y
+ 5x + 10y + 15
(4x - 3y + 5) (x + 2y - 3) = 4x^2 - 6y^2 + 5xy + 17x + y + 15
solved
general
11 months ago
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