Foil Pattern

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Foil Pattern
I’m totally confused on this algebra!?

How do I do these problems?

It says use the foil pattern to find the product.
If I could get step by step directions that would be great.

Here are the problems:
(9x-5)(7x-12)

(x+4)(x-4)

(4x+5)^2

(9-4x)(9+4x)

1st problem
(9x-5)(7x-12)

Basically you have to multiply 9x by 7x and -12 and then multiply -5 by 7x and -12 so you end up with

63x^2-108x -35x+60

combine like terms

answer = 63x^2- 143x+ 60

__________________________________________________________
2nd question

(x+4) (x-4)

I love these problems cuz they’re so easy

multiply x by x and -4 then multiply 4 by x and -4
you end up with

x^2 -4x+4x-16

simplify and you get x^2-16 because the 4x and the -4x cancel out
__________________________________________________________

3rd question

(4x+5)^2 or (4x+5)(4x+5)

multiply 4x by 4x and 5 then multiply 5 by 4x and 5 to get

16x^2+20x+20x+25

simplify and get

16x^2+40x+25
__________________________________________________________
4th question

(9-4x)(9+4x)

multiply 9 by 9 and 4x then multiply -4x by 9 and 4x to get

81+36x-36x-16x^2

simplify (note how the 36x and the -36x cancel out)

81-16x^2
or
-16x^2+81 they’re both the same

Hope this helps

foil pattern on a vortex bowl


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