Question

Match each expression on the left with its product on the right.

1. (3d+1) (d^2-2) A. 3d^3 + 6d^2 - d - 2

2. (d-1) (3d^2 + 2d + 2) B. 3d^3 + d^2 - 6d-2

3.(3d^2 - 1) (d+2) C. 3d^3 - d^2 - 2

Answer 1

1.
`(3d+1)(d^2-2)` ---> B.
`3d^3+6d^2-6d-2`

2.
`(d-1)(3d^2+2d+2)` ---> C.
`=3d^3-d^2-2`

3.
`(3d^21)(d+2)` ---> A.
`3d^3+6d^2-d-2`

Step-by-step-explanation:

We are three different expressions on the left side with three different products on the right side and we are supposed to match each expression with its product.

So first we will solve each of the expression and then see which product choice matches with which expression.

1.
`(3d+1)(d^2-2)`

`=3d^3-6d+d^2-2`

`=3d^3+6d^2-6d-2`

2.
`(d-1)(3d^2+2d+2)`

`=3d^3+2d^2+2d-3d^2-2d-2`

`=3d^3-d^2-2`

3.
`(3d^21)(d+2)`

`=3d^3+6d^2-d-2`

Therefore,

1.
`(3d+1)(d^2-2)` ---> B.
`3d^3+6d^2-6d-2`

2.
`(d-1)(3d^2+2d+2)` ---> C.
`=3d^3-d^2-2`

3.
`(3d^21)(d+2)` ---> A.
`3d^3+6d^2-d-2`