What is (4x^3-5x^2+3x)+(-2x^3-x^2+6x) ?

The solution to (4x^3-5x^2+3x)+(-2x^3-x^2+6x) is 2x^3-6x^2+9x

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simplify (4x^3-5x^2+3x)+(-2x^3-x^2+6x)

simplify

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

2 x^{3} - 6 x^{2} + 9 x

Solution steps

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

Simplify

(4 x^{3} - 5 x^{2} + 3 x) + (- 2 x^{3} - x^{2} + 6 x) : 4 x^{3} - 5 x^{2} + 3 x - 2 x^{3} - x^{2} + 6 x

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

Group like terms

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

Add similar elements:

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

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

Add similar elements:

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

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

Add similar elements:

3 x + 6 x = 9 x

= 2 x^{3} - 6 x^{2} + 9 x

(x + \frac{1}{2})^{3}

(- \frac{2}{3})^{3} - 2 (- \frac{2}{3}) + 4

\frac{x ^{- 4}}{- 4}

lo g_{7} (7^{8})

6 x^{3} - 9 - 6 x

What is (4x^3-5x^2+3x)+(-2x^3-x^2+6x) ?
The solution to (4x^3-5x^2+3x)+(-2x^3-x^2+6x) is 2x^3-6x^2+9x