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

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

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

simplify

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

- 2 x^{2} + 9 x

Solution steps

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

Group like terms

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

Add similar elements:

x + 5 x = 6 x

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

Expand

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

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

Group like terms

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

Add similar elements:

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

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

Add similar elements:

3 x + 6 x = 9 x

= - 2 x^{2} + 9 x

9 \frac{1}{4} - 4 \frac{3}{4}

16 \cdot (- 7)

\frac{2 5}{6}

2 u^{2} v^{2} - 11 u v^{3} + 15 v^{4}

- \frac{3}{5} + \frac{2}{5}