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katrin2010 [14]
3 years ago
12

Multiply. (3b-5) (7b+1) Simplify your answer.

Mathematics
1 answer:
mylen [45]3 years ago
7 0
<h3>Answer:</h3>

It would be 21b² -32b -5

<h3>Step-by-step explanation:</h3>

By using the FOIL method, you can simplify the equation.

<em>The Foil Method is </em><u><em>ac + ad + bc +bd</em></u><em>, or </em><u><em>First, Outer, Inner, Last.</em></u>

First, you multiply the first term in each bracket.

3b * 7b = 21b²

Next, you multiply the outer term in each bracket.

3b * 1 = 3b

Then, you multiply the inner term in each bracket.

-5 * 7b = -35b

After that, you multiply the last term in each bracket.

-5 * 1 = -5

Lastly, you combine like terms.

21b² + 3b -35b -5 ---> 21b² -32b -5

<em>21b² -32b -5 would be your answer, since you cannot simplify the equation anymore.</em>

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<em>Additional comment</em>

The integer side lengths of a right triangle form what is called a "Pythagorean triple." One of the most often seen of these is (3, 4, 5). Other commonly seen Pythagorean triples are (5, 12, 13), (7, 24, 25), (8, 15, 17).

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