What is (18-6x+6x^2)-(18x-15+6x^2) ?

The solution to (18-6x+6x^2)-(18x-15+6x^2) is -24x+33

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simplify (18-6x+6x^2)-(18x-15+6x^2)

simplify

(18 - 6 x + 6 x^{2}) - (18 x - 15 + 6 x^{2})

- 24 x + 33

Solution steps

(18 - 6 x + 6 x^{2}) - (18 x - 15 + 6 x^{2})

Apply rule:

(a) = a

(18 - 6 x + 6 x^{2}) = 18 - 6 x + 6 x^{2}

= 18 - 6 x + 6 x^{2} - (18 x - 15 + 6 x^{2})

Apply the distributive law:

- (a - b) = - a + b

- (18 x - 15 + 6 x^{2}) = - 18 x + 15 - 6 x^{2}

= 18 - 6 x + 6 x^{2} - 18 x + 15 - 6 x^{2}

Group like terms

= 6 x^{2} - 6 x^{2} - 6 x - 18 x + 18 + 15

Add similar elements:

6 x^{2} - 6 x^{2} = 0

= - 6 x - 18 x + 18 + 15

Add similar elements:

- 6 x - 18 x = - 24 x

= - 24 x + 18 + 15

Add the numbers:

18 + 15 = 33

= - 24 x + 33

(x^{2})^{- 5}

\frac{8}{125}

\frac{1 + 1}{1}

- 72 \div 9

x (2 - x)

What is (18-6x+6x^2)-(18x-15+6x^2) ?
The solution to (18-6x+6x^2)-(18x-15+6x^2) is -24x+33