Lincoln Hernandez

2022-02-03

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

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

$18{x}^{2}-15xy+2{y}^{2}$

Explanation:

First terms: 6x and 3x

Product of First terms:$18{x}^{2}$

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:$2{y}^{2}$

Sum of Products:

$18{x}^{2}-12xy-3xy+2{y}^{2}$

$=18{x}^{2}-15xy+2{y}^{2}$

Explanation:

First terms: 6x and 3x

Product of First terms:

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:

Sum of Products:

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$(6x-y)(3x-2y)\left(6x\right)\left(3x\right)=18{x}^{2}$

Outside (6x-y)(3x-9) (6x)(-2y)=-12xy

Inside (6x-y)(3x-2y) (-y)(3x)=-3xy

Last$(6x-y)(3x-2y)(-y)(-2y)=2{y}^{2}$

Written on one line, we have:

(6x-y)(3x-2y)=(6x)(3x)+(6x)(-2y)+(-y)(3x)+(-y)(-2y)

$(6x-y)(3x-2y)=18{x}^{2}-12xy-3xy+2{y}^{2}$ now combine similar terms

$(6x-y)(3x-2y)=18{x}^{2}-15xy+2{y}^{2}$

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

Outside (6x-y)(3x-9) (6x)(-2y)=-12xy

Inside (6x-y)(3x-2y) (-y)(3x)=-3xy

Last

Written on one line, we have:

(6x-y)(3x-2y)=(6x)(3x)+(6x)(-2y)+(-y)(3x)+(-y)(-2y)

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