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

The solution to (3x^2-5x+7)+(-2+6x-7x^2+x^3) is x^3-4x^2+x+5

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

simplify

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

x^{3} - 4 x^{2} + x + 5

Solution steps

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

Simplify

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

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

Group like terms

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

Add similar elements:

3 x^{2} - 7 x^{2} = - 4 x^{2}

= x^{3} - 4 x^{2} - 5 x + 6 x + 7 - 2

Add similar elements:

- 5 x + 6 x = x

= x^{3} - 4 x^{2} + x + 7 - 2

Subtract the numbers:

7 - 2 = 5

= x^{3} - 4 x^{2} + x + 5

m x^{2} + (2 m + 3 n) x y + 6 n y^{2}

- 32 + 8

x + 1 \cdot x + 1

x \cdot \frac{x}{2}

0. 2^{- 1}

What is (3x^2-5x+7)+(-2+6x-7x^2+x^3) ?
The solution to (3x^2-5x+7)+(-2+6x-7x^2+x^3) is x^3-4x^2+x+5