Question

I’ve posted this like 5 times T-T help…. Please ? Anyone?

Answer 1

(x+2)(9x+6)

Explanation:

This is the whole process. Skip down to the bolded important part if you want.

Going to quickly expand it again:

`9x(x+2)+6(x+2)\\9x^2+18x+6x+12\\9x^2+24x+12`

This is in the form of:

`ax^2+bx+c`

To factor a trinomial in this form, you need to find 2 numbers that multiply together to make
`ac`, and also add together to make
`b`.

In this case,

`ac=9*12=108\\b=24\\\\18*6=108=ac\\18+6=24=b`

those 2 numbers are 18 and 6.

Then, in the above, expanded equation, you need to split b into 2 numbers, from 24 into 18 and 6.

`9x^2+24x+12\\9x^2+18x+6x+12`

Then, split the equation in half and factor each half individually.

`(9x^2+18x)+(6x+12)\\9x(x+2)+6(x+2)`

Important part ==========

Now, we're right back at where we started with your question. All we need to do now is factor out the (x+2).

`9x(x+2)+6(x+2)\\(x+2)(9x+6)`

And you're done, that's all.