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

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:

2 x^2 - 3 x + 6

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

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