What is (3/5 x^2-4/5 x+2/5)+(x-2/5 x^2+7/5) ?

The solution to (3/5 x^2-4/5 x+2/5)+(x-2/5 x^2+7/5) is (x^2)/5+x/5+9/5

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simplify (3/5 x^2-4/5 x+2/5)+(x-2/5 x^2+7/5)

simplify

(\frac{3}{5} x^{2} - \frac{4}{5} x + \frac{2}{5}) + (x - \frac{2}{5} x^{2} + \frac{7}{5})

\frac{x ^{2}}{5} + \frac{x}{5} + \frac{9}{5}

Solution steps

(\frac{3}{5} x^{2} - \frac{4}{5} x + \frac{2}{5}) + (x - \frac{2}{5} x^{2} + \frac{7}{5})

Simplify

(\frac{3}{5} x^{2} - \frac{4}{5} x + \frac{2}{5}) + (x - \frac{2}{5} x^{2} + \frac{7}{5}) : \frac{3}{5} x^{2} - \frac{4}{5} x + \frac{2}{5} + x - \frac{2}{5} x^{2} + \frac{7}{5}

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

Factor out common term

x^{2}

= x^{2} (\frac{3}{5} - \frac{2}{5}) - \frac{4}{5} x + \frac{2}{5} + x + \frac{7}{5}

Factor out common term

x : x (- \frac{4}{5} + 1)

= x^{2} (\frac{3}{5} - \frac{2}{5}) + x (- \frac{4}{5} + 1) + \frac{2}{5} + \frac{7}{5}

\frac{3}{5} - \frac{2}{5} = \frac{1}{5}

- \frac{4}{5} + 1 = \frac{1}{5}

= x^{2} \frac{1}{5} + x \frac{1}{5} + \frac{2}{5} + \frac{7}{5}

Join

x^{2} \frac{1}{5} + x \frac{1}{5} + \frac{2}{5} + \frac{7}{5} : \frac{1}{5} x^{2} + \frac{1}{5} x + \frac{9}{5}

= \frac{1}{5} x^{2} + \frac{1}{5} x + \frac{9}{5}

\frac{1}{5} x^{2} = \frac{x ^{2}}{5}

\frac{1}{5} x = \frac{x}{5}

= \frac{x ^{2}}{5} + \frac{x}{5} + \frac{9}{5}

(x + 1) (x + 2) (x - 3)

\frac{1}{1 + 2}

(k + 8) (k - 8)

(12 - i)^{2}

- 1 - (- 6)

What is (3/5 x^2-4/5 x+2/5)+(x-2/5 x^2+7/5) ?
The solution to (3/5 x^2-4/5 x+2/5)+(x-2/5 x^2+7/5) is (x^2)/5+x/5+9/5