Question

(b-2)(b+ 7)
I need to find and answer for this anyone online???

Answer 1

The answer is:

`\sf{b^2+5b-14}`

Work/explanation:

Remember that to multiply binomials, we use FOIL:

F = first

O = outside

I = inside

L = last

Now multiply. The first terms that we need to multiply are b and b:

`\sf{b^2}`

Then, multiply b times 7 (Outside)

`\sf{7b}`

Then, multiply -2 times b

`\sf{-2b}`

Finally, multiply -2 times 7

`\sf{-14}`

Put the terms together

`\sf{b^2+7b-2b-14}`

Combine like terms

`\sf{b^2+5b-14}`

Answer 2

b² + 5b - 14

Explanation:

(b - 2)(b + 7)

each term in the second factor is multiplied by each term in the first factor, that is

b(b + 7) - 2(b + 7) ← distribute parenthesis

= b² + 7b - 2b - 14 ← collect like terms

= b² + 5b - 14