Question

Are the expressions shown below equivalent?

(3x+9)(x+2)
(3x + 6)(x+3)
Justify/Explain your answer in two different ways.

(Algebra 1) Please help!

Answer 1

(3x+9)(x+2)

step:3xx+3x2+9x+9x2

3x2+6x+9x+9x2

answer is 3x2+15x+18

step:3xx+3x3+6x+6x3

3x2+6x+6x3

answer is 3x2+15x+18

Explanation:

#Carry on learning#

Answer 2

Yes, the expressions are equivalent.

Explanation:

Expanding (3x + 9)(x + 2) gives us
`3x^2 + 15x + 18` which is the same as when you expand (3x + 6)(x + 3).