Question

Simplify: (7x2 − 8x − 4) + (−2x2 + 3x + 5) + (5x2 − 10x − 8)

a 10x2 + 15x − 7
b 10x2 + 5x − 7
c 10x2 − 15x − 7
d 10x2 − 15x − 9

Answer 1

7x^2 - 8x - 4 + (-2x^2 + 3x + 5) + 5x^2 - 10x - 8 =
7x^2 - 8x - 4 - 2x^2 + 3x + 5 + 5x^2 - 10x - 8 =
10x^2 - 15x - 7 <==

Answer 2

Answer: The correct option is (c)
`10x^2-15x-7.`

Step-by-step explanation: We are given to simplify the following expression :

`E=(7x^2-8x-4)+(-2x^2+3x+5)+(5x^2-10x-8)~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~(i)`

To simplify the given expression, we need to operate the coefficients with same powers of the unknown variable x.

From (i), we get

`E\\\\=(7x^2-8x-4)+(-2x^2+3x+5)+(5x^2-10x-8)\\\\=(7-2+5)x^2+(-8+3-10)x+(-4+5-8)\\\\=10x^2-15x-7.`

Thus, the required simplified answer is
`10x^2-15x-7.`

Option (c) is CORRECT.