What is (2x^2+6x-11)-(5x^2-x+7) ?

The solution to (2x^2+6x-11)-(5x^2-x+7) is -3x^2+7x-18

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simplify (2x^2+6x-11)-(5x^2-x+7)

simplify

(2 x^{2} + 6 x - 11) - (5 x^{2} - x + 7)

- 3 x^{2} + 7 x - 18

Solution steps

(2 x^{2} + 6 x - 11) - (5 x^{2} - x + 7)

Apply rule:

(a) = a

(2 x^{2} + 6 x - 11) = 2 x^{2} + 6 x - 11

= 2 x^{2} + 6 x - 11 - (5 x^{2} - x + 7)

Apply the distributive law:

- (a - b) = - a + b

- (5 x^{2} - x + 7) = - 5 x^{2} + x - 7

= 2 x^{2} + 6 x - 11 - 5 x^{2} + x - 7

Group like terms

= 2 x^{2} - 5 x^{2} + 6 x + x - 11 - 7

Add similar elements:

2 x^{2} - 5 x^{2} = - 3 x^{2}

= - 3 x^{2} + 6 x + x - 11 - 7

Add similar elements:

6 x + x = 7 x

= - 3 x^{2} + 7 x - 11 - 7

Subtract the numbers:

- 11 - 7 = - 18

= - 3 x^{2} + 7 x - 18

75 a + 4 12 a - 27 a

(\frac{x ^{2}}{y ^{3}})^{- 2}

23 \cdot 9

4 x^{2} - 20 x + 24

32 \cdot 52

What is (2x^2+6x-11)-(5x^2-x+7) ?
The solution to (2x^2+6x-11)-(5x^2-x+7) is -3x^2+7x-18