What is (3x+5x^2-1)+(13-20x+x^2) ?

The solution to (3x+5x^2-1)+(13-20x+x^2) is 6x^2-17x+12

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simplify (3x+5x^2-1)+(13-20x+x^2)

simplify

(3 x + 5 x^{2} - 1) + (13 - 20 x + x^{2})

6 x^{2} - 17 x + 12

Solution steps

(3 x + 5 x^{2} - 1) + (13 - 20 x + x^{2})

Simplify

(3 x + 5 x^{2} - 1) + (13 - 20 x + x^{2}) : 3 x + 5 x^{2} - 1 + 13 - 20 x + x^{2}

= 3 x + 5 x^{2} - 1 + 13 - 20 x + x^{2}

Group like terms

= 5 x^{2} + x^{2} + 3 x - 20 x - 1 + 13

Add similar elements:

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

= 6 x^{2} + 3 x - 20 x - 1 + 13

Add similar elements:

3 x - 20 x = - 17 x

= 6 x^{2} - 17 x - 1 + 13

Add the numbers:

- 1 + 13 = 12

= 6 x^{2} - 17 x + 12

- \frac{5}{6} - \frac{7}{9}

4 (5 + x)

\frac{2 x}{- 2}

102

2 (sin (3 x)) - 1

What is (3x+5x^2-1)+(13-20x+x^2) ?
The solution to (3x+5x^2-1)+(13-20x+x^2) is 6x^2-17x+12