Question

Select the correct difference. 5d^2 + 4d - 3 less 2d^2 - 3d + 4

Answer 1

`3d^2+ 7d- 7`

Explanation:

Given

`P_1 = 5d^2 + 4d - 3`

`P_2 = 2d^2 - 3d + 4`

Required

P1 less P2

This means that we subtract P2 from P1.

So, we have:

`P_1 - P_2 = 5d^2 + 4d - 3 - (2d^2 - 3d + 4)`

Remove bracket

`P_1 - P_2 = 5d^2 + 4d - 3 - 2d^2 + 3d - 4`

Collect like terms

`P_1 - P_2 = 5d^2 - 2d^2+ 4d + 3d- 3 - 4`

`P_1 - P_2 = 3d^2+ 7d- 7`

The difference is:
`3d^2+ 7d- 7`