What is (2x^3-3x^2+5x-1)+(x^2+1-3x) ?

The solution to (2x^3-3x^2+5x-1)+(x^2+1-3x) is 2x^3-2x^2+2x

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simplify (2x^3-3x^2+5x-1)+(x^2+1-3x)

simplify

(2 x^{3} - 3 x^{2} + 5 x - 1) + (x^{2} + 1 - 3 x)

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

Solution steps

(2 x^{3} - 3 x^{2} + 5 x - 1) + (x^{2} + 1 - 3 x)

Simplify

(2 x^{3} - 3 x^{2} + 5 x - 1) + (x^{2} + 1 - 3 x) : 2 x^{3} - 3 x^{2} + 5 x - 1 + x^{2} + 1 - 3 x

= 2 x^{3} - 3 x^{2} + 5 x - 1 + x^{2} + 1 - 3 x

Group like terms

= 2 x^{3} - 3 x^{2} + x^{2} + 5 x - 3 x - 1 + 1

Add similar elements:

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

= 2 x^{3} - 2 x^{2} + 5 x - 3 x - 1 + 1

Add similar elements:

5 x - 3 x = 2 x

= 2 x^{3} - 2 x^{2} + 2 x - 1 + 1

Add the numbers:

- 1 + 1 = 0

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

\frac{27 m ^{4} n ^{6} - 15 m ^{3} n ^{6} + 3 m n ^{2}}{3 m n ^{2}}

\frac{x ^{2}}{x + 1}

(2 x - 9) (3 x - 5)

\frac{x}{- 2}

(x - 3)^{7}

What is (2x^3-3x^2+5x-1)+(x^2+1-3x) ?
The solution to (2x^3-3x^2+5x-1)+(x^2+1-3x) is 2x^3-2x^2+2x