Question

Simplify (5x3− x + 14) − (3x2− 9x + 4).

A) 5x3− 3x2+ 8x + 10
B) 2x2+ 8x + 10
C) 5x3− 3x2− 10x + 18
D) 2x2− 10x + 18

Answer 1

Option A.,

Explanation:

(5x3− x + 14) − (3x2− 9x + 4)

First remove the 2 sets of parentheses. Note when we remove the second one we multiply the terms inside by -1. ( Or we might say we distribute the negative over this parentheses.)

= 5x^3 - x + 14 - 3x^2 + 9x - 4

Now we simplify like terms:-

= 5x^3 - 3x^2 + 8x + 10 (answer).

Answer 2

The correct answer option is A) 5x^3-3x^2+8x+10.

Explanation:

We are given the following expression and we are to simplify it:

`(5x^3-x+14)-(3x^2-9x+4)`

To simplify this expression, we will open the brackets and arrange the like terms together to get:

= 5x^3 - x + 14 - 3x^2 + 9x-4

= 5x^3 - 3x^2 - x + 9x + 14 - 4

= 5x^3 - 3x^2 + 8x + 10

Therefore, the correct answer option after simplifying the given expression
`(5x^3-x+14)-(3x^2-9x+4)`is A) 5x^3-3x^2+8x+10.