Question

Select the correct difference.

5d 2 + 4d - 3 less 2d 2 - 3d + 4

3d2 + 7d - 7
3d2 - 7d - 7
7d2 + 7d - 7
7d2 + d + 1

Answer 1

Option (a) is correct.

`5d^2+4d-3-(2d^2-3d+4)=3d^2+7d-7`

Explanation:

Given:
`5d^2+4d-3-(2d^2-3d+4)`

We have to solve the given expression and choose the correct difference from the given options.

Consider the given expression
`5d^2+4d-3-(2d^2-3d+4)`

Apply plus- minus rule,
`-(-a)=a`

We have,

`=5d^2+4d-3-2d^2+3d-4`

Adding like terms, we have,

LIKE TERMS are terms having same variable with same degree.

`=(5-2)d^2+(4+3)d-(3+4)`

Simplify, we have,

`=3d^2+7d-7`

Thus, Option (a) is correct.

Answer 2

Answer: First option is correct.

Explanation:

Since we have given that

`5d^2+4d-3-(2d^2-3d+4)`

We need to find the correct difference.

Collect the like terms together.

`5d^2+4d-3-(2d^2-3d+4)\\\\=5d^2+4d-3-2d^2+3d-4\\\\=5d^2-2d^2+4d+3d-3-4\\\\=3d^2+7d-7`

Hence, First option is correct.