Multiply the polynomials using the FOIL method. Express your answer

Charles Kingsley

Charles Kingsley

Answered question

2021-12-12

Multiply the polynomials using the FOIL method. Express your answer as a single polynomial in standard form.
(x-3y)(-2x+y)

Answer & Explanation

Papilys3q

Papilys3q

Beginner2021-12-13Added 34 answers

Step 1
The given polynomial is,
(x-3y)(-2x+y)
We need to find the product of the polynomial using FOIL method.
Step 2
Using FOIL method of multiplication,
Multiplying the first terms of both the binomials, we get
x(2x)=2x2
Multiplying the outer terms of both the binomials, we get
x*y=xy
Multiplying the inner terms of both the binomials, we get
(-3y)*(-2x)=6xy
Multiplying the last terms of both the binomials, we get
(3y)y=2y2
On arranging the terms and simplifying the like terms, we get
2x2+xy+6xy2y2=2x2+7xy2y2
Therefore, the product of the polynomial is 2x2+7xy2y2
John Koga

John Koga

Beginner2021-12-14Added 33 answers

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