What is (5x^2+13x+6)-(4x^2+11x+8) ?

The solution to (5x^2+13x+6)-(4x^2+11x+8) is x^2+2x-2

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simplify (5x^2+13x+6)-(4x^2+11x+8)

simplify

(5 x^{2} + 13 x + 6) - (4 x^{2} + 11 x + 8)

x^{2} + 2 x - 2

Solution steps

(5 x^{2} + 13 x + 6) - (4 x^{2} + 11 x + 8)

Apply rule:

(a) = a

(5 x^{2} + 13 x + 6) = 5 x^{2} + 13 x + 6

= 5 x^{2} + 13 x + 6 - (4 x^{2} + 11 x + 8)

Apply the distributive law:

- (a + b) = - a - b

- (4 x^{2} + 11 x + 8) = - 4 x^{2} - 11 x - 8

= 5 x^{2} + 13 x + 6 - 4 x^{2} - 11 x - 8

Group like terms

= 5 x^{2} - 4 x^{2} + 13 x - 11 x + 6 - 8

Add similar elements:

5 x^{2} - 4 x^{2} = x^{2}

= x^{2} + 13 x - 11 x + 6 - 8

Add similar elements:

13 x - 11 x = 2 x

= x^{2} + 2 x + 6 - 8

Subtract the numbers:

6 - 8 = - 2

= x^{2} + 2 x - 2

x - \frac{2}{3} x

36 x^{2} - 24 x

64 - \frac{1}{4}

\frac{4}{5} + \frac{5}{7}

\frac{125}{8}

What is (5x^2+13x+6)-(4x^2+11x+8) ?
The solution to (5x^2+13x+6)-(4x^2+11x+8) is x^2+2x-2