Question

(a 3 - 2a + 5) - (4a 3 - 5a 2 + a - 2)

Answer 1

(a^3 - 2a + 5) - (4a^3 - 5a^2 + a - 2)
=a^3 - 2a + 5 - 4a^3 + 5a^2 - a + 2
= -3a^3 + 5a^2 - 3a + 7

Answer 2

The simplified form is

`-3a^3+5a^2-3a+7`

Explanation:

Given the expression

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

we have to simplify the above expression.

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

Step 1: Opening the brackets

`a^3-2a+5-4a^3+5a^2-a+2`

Step 2: Combining like terms

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

`-3a^3+5a^2-3a+7`

which is required simplified form