Simplify (5x2 + x - 11) - (3x² + 4x - 17)

The answer is 2x² - 3x + 6.

Step-by-step explanation:

You have to get rid of brackets and simplify it:

(5x² + x - 11) - (3x² + 4x - 17)

= 5x² + x - 11 - 3x² - 4x + 17

= 2x² - 3x + 6

2 x^2 - 3 x + 6

Step-by-step explanation:

Simplify the following:

- (3 x^2 + 4 x - 17) + 5 x^2 + x - 11

- (3 x^2 + 4 x - 17) = - 3 x^2 - 4 x + 17:

-3 x^2 - 4 x + 17 + 5 x^2 + x - 11

Grouping like terms, 5 x^2 - 3 x^2 + x - 4 x - 11 + 17 = (5 x^2 - 3 x^2) + (x - 4 x) + (-11 + 17):

(5 x^2 - 3 x^2) + (x - 4 x) + (-11 + 17)

5 x^2 - 3 x^2 = 2 x^2:

2 x^2 + (x - 4 x) + (-11 + 17)

x - 4 x = - 3 x:

2 x^2 + - 3 x + (-11 + 17)

17 - 11 = 6:

Answer: 2 x^2 - 3 x + 6