3 years ago

Factor: 4b2 - 12b + 9

Mathematics

1 answer:

Vikentia [17]3 years ago

5 0

Answer:

(2b-3)²

Step-by-step explanation:

The square of a binomial is ...

(p - q)² = p² - 2pq + q²

The fact that the first and last terms are perfect squares suggests that you might want to look to see if the middle term matches this form. It does.

For p² = 4b², p=2b.

For q² = 9, q = 3.

Then 2pq = 2(2b)(3) = 12b.

So, the factoring is ...

4b² -12b +9 = (2b -3)²

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