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

Line

Line

Answered question

2020-11-17

The explanation of how to multiply polynomialswhen neither is monomial with an examplw:
(2x2 + 4y3) (3x3 + 4y2)

Answer & Explanation

Maciej Morrow

Maciej Morrow

Skilled2020-11-18Added 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.
Jeffrey Jordon

Jeffrey Jordon

Expert2022-01-24Added 2605 answers

Answer is given below (on video)

Do you have a similar question?

Recalculate according to your conditions!

Ask your question.
Get an expert answer.

Let our experts help you. Answer in as fast as 15 minutes.

Didn't find what you were looking for?