Question

The equation (2x^2-1)(3x+2)=(2x^2)(3x)+(2x^2)(2)+(-1)(2) is an example of which method/property?

Answer 1

Hello!

The answer is:

The equation is an example of the distributive property.

Why?

To determine which method/property is the equation example, we need to remember the distributive property.

We can state the distributive property with the following example:

`(a+b)(c+d)=a*c+a*d+b*c*+b*d`

So, we are given the expression:

`(2x^(2)-1)(3x+2)`

Then, apllying the distributive property we have:

`(2x^(2)-1)(3x+2)=(2x^(2))*(3x)+(2x^(2))*2+(-1)*(3x)+(-1)*(2)`

Hence, the equation is an example of the distributive property.

Have a nice day!