What is (3x^2-5x+7)-(-2+6x-7x^2) ?

The solution to (3x^2-5x+7)-(-2+6x-7x^2) is 10x^2-11x+9

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simplify (3x^2-5x+7)-(-2+6x-7x^2)

simplify

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

10 x^{2} - 11 x + 9

Solution steps

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

Apply rule:

(a) = a

(3 x^{2} - 5 x + 7) = 3 x^{2} - 5 x + 7

= 3 x^{2} - 5 x + 7 - (- 2 + 6 x - 7 x^{2})

Apply the distributive law:

- (- a + b) = a - b

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

= 3 x^{2} - 5 x + 7 + 2 - 6 x + 7 x^{2}

Group like terms

= 3 x^{2} + 7 x^{2} - 5 x - 6 x + 7 + 2

Add similar elements:

3 x^{2} + 7 x^{2} = 10 x^{2}

= 10 x^{2} - 5 x - 6 x + 7 + 2

Add similar elements:

- 5 x - 6 x = - 11 x

= 10 x^{2} - 11 x + 7 + 2

Add the numbers:

7 + 2 = 9

= 10 x^{2} - 11 x + 9

50 + 32

\frac{( 2 + i ) ^{2} ( - i )}{1 + i}

\frac{1}{5 ^{- 5}}

\frac{13}{5} \div \frac{5}{10}

(9 + x - 3) (9 + x + 3)

What is (3x^2-5x+7)-(-2+6x-7x^2) ?
The solution to (3x^2-5x+7)-(-2+6x-7x^2) is 10x^2-11x+9