How do you multiply 3xy(2x^{2}+2xy+y^{2})?

Adrienne Gross

Adrienne Gross

Answered question

2022-02-04

How do you multiply 3xy(2x2+2xy+y2)?

Answer & Explanation

tacalaohn

tacalaohn

Beginner2022-02-05Added 13 answers

Explanation:
This is a matter of distribution. The monomial 3xy should be multiplied by each term of the polynomial inside the parenthesis. Remember to multiply the coefficients of the terms and add the exponents of like variables. Also, do not overlook that variables which do not have a shown exponent still have an understood exponent of 1.
3xy2x2=6x3y
3xy2xy=6x2y2
3xyy2=3xy3
Putting the three resulting terms together yields the polynomial that is the answer.
6x3y+6x2y2+3xy3

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