Question

Math

1 AA.8 Multiply two binomials M7Q
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Find the product. Simplify your answer.
(b- 3)(3b - 1)

Answer 1

Now THAT'S ALOTTA POINTS

Explanation:

To multiply the two binomials (b - 3)(3b - 1), you can use the FOIL method, which stands for First, Outer, Inner, Last. Here's how it works:

First: Multiply the first terms of each binomial.

(b * 3b) = 3b^2

Outer: Multiply the outer terms of each binomial.

(b * -1) = -b

Inner: Multiply the inner terms of each binomial.

(-3 * 3b) = -9b

Last: Multiply the last terms of each binomial.

(-3 * -1) = 3

Now, add up all the results:

3b^2 - b - 9b + 3

Combine like terms:

3b^2 - 10b + 3

So, the product of (b - 3)(3b - 1) is 3b^2 - 10b + 3.