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- Example: Squaring Binomials
- We have to square (6+y)^2 for problem 1, right? Well, it would be easier to read as (y+6)^2
- Next, you have to use the FOIL method of distributing polynomials, FOIL stands for First Outer Inner Last
- (y+6)^2 = (y+6)(y+6), right?
- First: multiply both the y's together = y^2
- Outer: Multiply the "y" on the first binomial with the "6" on the 2nd binomial = 6y
- Inner: Multiply the "6" on the first binomial with the "y" on the 2nd binomial = 6y
- Last: Multiply both the "6"'s together = 36
- NOW, add them all together = y^2 + 12y + 36
- Now, for SQUARING binomials, there is a formula you can use.
- a^2 + 2ab + b^2
- Lets look back at the previous binomial
- "y" is a
- "6" is b
- SUBSTITUTE:
- y^2 + 2(y)(6) + 6^2 =
- y^2 + 12y + 36
- there ya go, you now know how to square binomials~!~~~~!!!!!!!!!!!!!!!
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