Question

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

Answer 1

Answer:

$3d^2+ 7d- 7$

Step-by-step 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: $3d^2+ 7d- 7$