Question

If M=5x^2+7x-4 anc N=-3x^2-4x+5, then M-N equals?

Answer 1

Answer:
`8x^2+11x-9`

Explanation:

The given expressions:
`M=5x^2+7x-4` and
`N=-3x^2-4x+5`

To find : M-N

Now, Consider M-N

Substitute the values of M and N into it , we get

`5x^2+7x-4-(-3x^2-4x+5)`

Multiply (-) inside the parenthesis (it will just change the sign of the terms), we get

`5x^2+7x-4+3x^2+4x-5`

Combine like terms together

`5x^2+3x^2+7x+4x-4-5`

Simplify

`8x^2+11x-9`

Hence, M-N=
`8x^2+11x-9`

Answer 2

`8x^(2)+11x-9`

Explanation:

we have

`M=5x^(2)+7x-4`

`N=-3x^(2)-4x+5`

Find M-N

substitute

`(5x^(2)+7x-4)-(-3x^(2)-4x+5)`

`5x^(2)+7x-4+3x^(2)+4x-5)`

Group terms

`(5x^(2)+3x^(2))+(7x+4x)+(-4-5)`

Combine like terms

`(8x^(2))+(11x)+(-9)`

`8x^(2)+11x-9`