Question

Which expression is equivalent to: (x +9)(x+3)

a. x2 + 6x + 6
b. x2+27x+12
c. x2+ 12x+27
d. x2+ 12x + 12

Answer 1

c

Explanation:

x*x=x^2

x*9=9x

x*3=3x

9x+3x=12x

9x3=27

x^2+12x+27

Answer 2

C

Explanation:

To solve use the FOIL method, First, Outside, Inside, Last. This means to multiply the first terms, the ones on the outsides, the ones on the insides, and finally the last ones.

First, multiply x*x=
`x^(2)`

Then, multiply x*3= 3x

Next, multiply 9*x= 9x

Finally, multiply 9*3= 27

To simplify put all of the products together,
`x^(2)`+3x+9x+27, then add like terms
`x^(2)`+12x+27, so the answer is C.