Question

Factor: (2x+1)(3x+2)+(3x+5)(x-2) This one is really long and it's getting confusing. :(

Answer 1

start with (2x+1)(3x+2)

Answer 2

That's the problem... where do you start?!?!

Answer 3

I mean can you factor that out

Answer 4

What is 2x times 3x

Answer 5

Would it be 6x^2?

Answer 6

correct. Excellent job. Now it goes to 2x times two.

Answer 7

4x?

Answer 8

Yes fantastic. After that it is 1 times 3x. Are you seeing the pattern

Answer 9

I think so? So would it be 3x+2?

Answer 10

All together would it be (6x^2+4x)(3x+2)? -For the left side?

Answer 11

Yes other than the fact that you do not multiply them together. Since you are combining them together you add them. Very fine job

Answer 12

9x^2+6x-8

Answer 13

So would my final answer be -9x^2+12?

Answer 14

No. That up there is the correct final answer but the leftside will be. 6x^2+7x+2

Answer 15

no because u dont have ur x value as well. look at my post.
its 9x^2+6x-8 and simplifying it will give u (3x-2)(3x+4)

Answer 16

The right side will be 3x^2-x-10

Answer 17

How did you simplify it down into that answer mew55?

Answer 18

You combine the two polynomials

Answer 19

okay so u know x*x=x^2 and x*1=x
from the 9x^2+6x-8 that is simplified to (3x-2)(3x+4)
it is 9x^2+12x-6x-8
its distribution, which is multiplying each number on one by by the other

Answer 20

6x^2+7x+2+3x^2-x-10=9x^2+7x-5