What is (13x^2-5x+7)-(18-12x+19x^2) ?

The solution to (13x^2-5x+7)-(18-12x+19x^2) is -6x^2+7x-11

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simplify (13x^2-5x+7)-(18-12x+19x^2)

simplify

(13 x^{2} - 5 x + 7) - (18 - 12 x + 19 x^{2})

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

Solution steps

(13 x^{2} - 5 x + 7) - (18 - 12 x + 19 x^{2})

Apply rule:

(a) = a

(13 x^{2} - 5 x + 7) = 13 x^{2} - 5 x + 7

= 13 x^{2} - 5 x + 7 - (18 - 12 x + 19 x^{2})

Apply the distributive law:

- (a - b) = - a + b

- (18 - 12 x + 19 x^{2}) = - 18 + 12 x - 19 x^{2}

= 13 x^{2} - 5 x + 7 - 18 + 12 x - 19 x^{2}

Group like terms

= 13 x^{2} - 19 x^{2} - 5 x + 12 x + 7 - 18

Add similar elements:

13 x^{2} - 19 x^{2} = - 6 x^{2}

= - 6 x^{2} - 5 x + 12 x + 7 - 18

Add similar elements:

- 5 x + 12 x = 7 x

= - 6 x^{2} + 7 x + 7 - 18

Subtract the numbers:

7 - 18 = - 11

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

6 \cdot 1 0^{- 3}

(4 x - 1) (x^{2} + 3 x - 4)

\frac{1}{x ^{2} + 3 x - 18} - \frac{4}{7 x ^{2} - 11 x - 30}

\frac{23}{10}

\frac{36}{24}

What is (13x^2-5x+7)-(18-12x+19x^2) ?
The solution to (13x^2-5x+7)-(18-12x+19x^2) is -6x^2+7x-11