Factor Completely. Show ALL steps (as best as possible)

16b2 + 60b − 100

4(4b - 5)(b + 5)

Step-by-step explanation:

All have a common factor of 4

4(4b^2 + 15b - 25)

Now you need to find two numbers that:

a) multiply to -100 (the a term * the c term = 4 * -25)

b) add to 15 (the b term)

After a little thinking, we can determine that the two numbers are:

20 and -5

Now we can rewrite the middle term as 20b - 5b (notice how it still equals 15b)

4(4b^2 + 20b - 5b - 25)

4((4b^2 + 20b) + (-5b - 25))

Group the terms (associative property)

Take out a common factor from each

4(4b(b + 5) - 5 (b + 5))

Now we can factor by grouping

4(4b - 5)(b + 5)

answer: i cant see the picture

step-by-step explanation:

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