Question

What is the factored form of the expression?Factor completely.15g^3+18g^2-10g-12

Answer 1

Step 1: write the number as a product, helps visualizing common factors.

`3*(5g)*g^2 + (2*3)*3 g^2-2*(5g) -2*(2*3)`
I've marked things being repeating, so, group them up

`5g(3g^2-2)+6(3g^2-2)`
Now you have a common factor again

`(3g^2-2)(5g+6)`
Extra, if you want to split the first one, you can see it as the difference of
`(√(3)g)^2` and
`√(2)` which is further split into
`( √(3) g+√(2)) (√(3) g-√(2))`