Question

I need help simplifying (3x+3) (4x-6)

Answer 1

Step-by-step explanation

We need to simplify this product of expressions:

`(3x+3)\cdot(4x-6)`

We must use the distributive property of the multiplication here. We take the left expression and we multiply both terms of the right expression by it:

`(3x+3)\cdot(4x-6)=(3x+3)\cdot4x+(3x+3)\cdot(-6)`

Now we have the sum of two expressions. We apply the distributive property of the multiplication to both:

`(3x+3)\cdot4x+(3x+3)\cdot(-6)=3x\cdot4x+3\cdot4x+3x\cdot(-6)+3\cdot(-6)`

We continue operating:

`3x\cdot4x+3\cdot4x+3x\cdot(-6)+3\cdot(-6)=12x^2+12x-18x-18`

We can use the distributive property inversely in the terms with x:

`\begin{gathered} 12x^2+12x-18x-18=12x^2+(12-18)\cdot x-18 \\ 12x^2+(12-18)\cdot x-18=12x^2-6x-18 \end{gathered}`Answer

Then the answer is:

`12x^2-6x-18`