The explanation of how to multiply polynomialswhen neither is monomial with an examplw: (2x^{2} + 4y^{3}) (3x^{3} + 4y^{2})

Line 2020-11-17 Answered
The explanation of how to multiply polynomialswhen neither is monomial with an examplw:
(2x2 + 4y3) (3x3 + 4y2)
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Expert Answer

Maciej Morrow
Answered 2020-11-18 Author has 98 answers
Step 1:
Distribute each term of the first polynomial to every term of the second polynomial.
(2x2 + 4y3) (3x3 + 4y2)=2x2 (3x3) + 2x2 (4y2) + 4y3 (3x3) + 4y3
=6x5 + 8x2 y2
+ 12x3 y3 + 16y5
Step 2: Combine like terms. In this problem, there are no line terms.
6x5 + 8x2 y2 + 12x3 y3 + 16y5
Conclusion:
Polynomial with Polynomial: To multiply a polynomial and a polynomial, use the distributive property until every term of one polynomial is mutiplied times every term of the other polynomial. Make sure that you simplify your answer by combining any like terms.
Example: (2x2 + 4y3) (3x3 + 4y2)=6x5 + 8x2 y2 + 12x3 y3 + 16y5.
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Jeffrey Jordon
Answered 2022-01-24 Author has 2313 answers

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