How do you foil (6x-y)(3x-2y)?

Lincoln Hernandez

Lincoln Hernandez

Answered question

2022-02-03

How do you foil (6x-y)(3x-2y)?

Answer & Explanation

Nathen Lamb

Nathen Lamb

Beginner2022-02-04Added 13 answers

Add (product of F rst terms) plus (product of O utside terms) plus (product of I nside terms) plus (product of L ast terms) to get
18x215xy+2y2
Explanation:
First terms: 6x and 3x
Product of First terms: 18x2
Outside terms: 6x and 3x
Product of Outside terms : -12xy
Inside terms: -y and 3x
Product of Inside terms: -3xy
Last terms: -y and -2y
Product of Last terms: 2y2
Sum of Products:
18x212xy3xy+2y2
=18x215xy+2y2
Evie French

Evie French

Beginner2022-02-05Added 18 answers

Explanation:
When we multiply two polynomials, we must multiply each (and every) term in one times each (and every) term of the other.
{Reminder: things that are to be multiplied are called "factors", things to be added are called "terms".)
Many people use FOIL to remind themselves and to keep track of how to multiply these:
Multiply: (6x-y)(3x-2y) (in this example we'll use FOIL)
First (6xy)(3x2y)(6x)(3x)=18x2
Outside (6x-y)(3x-9) (6x)(-2y)=-12xy
Inside (6x-y)(3x-2y) (-y)(3x)=-3xy
Last (6xy)(3x2y)(y)(2y)=2y2
Written on one line, we have:
(6x-y)(3x-2y)=(6x)(3x)+(6x)(-2y)+(-y)(3x)+(-y)(-2y)
(6xy)(3x2y)=18x212xy3xy+2y2 now combine similar terms
(6xy)(3x2y)=18x215xy+2y2

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