Use FOIL to multiply the two binomials. (b + 3)(b – 9)

2 answers:

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Take your (b+3)(b-9) and assign the letters of FOIL to them using the following:

F: First
For this, you are going to multiply the first quantity from each part of the binomial.
The first quantity from (b+3) is b, and the first quantity from (b-9) is also b, so multiplying them gives us: b x b = b^2

I: Inside
For this, you are going to multiply the inside quantity from each part of the binomial.
Look at (b+3)(b-9) and think of which quantities would be characterized as the 'inside' of the binomial. You should get 3 from (b+3) and b from (b-9), as those are the inside quantities.
Multiplying them gives us: 3 x b = 3b.

O: Outside
For this, you are going to multiply the outside quantity from each part of the binomial.
Look at (b+3)(b-9) and think of which quantities would be characterized as the 'outside' of the binomial. You should get b from (b+3) and -9 from (b-9), as those are the outside quantities.
Multiplying them gives us: b x -9 = -9b

L: Last
For this, you are going to multiply the last quantity from each part of the binomial. The last quantity from (b+3) is 3 and the last quantity from (b-9) is -9.
Multiplying them gives us: 3 x -9 = -27

Simply add each answer together to get the final equation:
b^2 + 3b - 9b - 27
Simplifying further gives us:
b^2 - 6b - 27