Multiply the polynomials using the FOIL method. Express your answer

aramutselv 2021-12-18 Answered
Multiply the polynomials using the FOIL method. Express your answer as a single polynomial in standard form.
(x-2y)(x+y)
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Expert Answer

Corgnatiui
Answered 2021-12-19 Author has 35 answers
Step 1
Given:
(x-2y)(x+y)
To Find:
Using FOIL method express the polynomial in standard form
Step 2
Explanation:
FOIL(First, Outer, Inner, Last)
So, (x2y)(x+y)=x2+xy2xy2y2
(x2y)(x+y)=x2xy2y2
Step 3
Answer:
(x2y)(x+y)=x2xy2y2

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scoollato7o
Answered 2021-12-20 Author has 26 answers
Multiply the binomials using the FOIL method.
(x-2y)(x+y)=x*x+x*y+(-2y)x+(-2y)y
Multiply the monomials using the laws of exponents.
xx+xy+(2y)x+(2y)y=x1+1+xy+(2xy)+(2y2)
=x2+xy2xy2y2
Combine the like terms using the distributive property.
x2+xy2xy2y2=x2+(12)xy2y2
=x2+(1)xy2y2
=x2xy2y2
Therefore, the result is x2xy2y2.

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