What is (x^2+3x-5)+(-3x^2-8x+9) ?

The solution to (x^2+3x-5)+(-3x^2-8x+9) is -2x^2-5x+4

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simplify (x^2+3x-5)+(-3x^2-8x+9)

simplify

(x^{2} + 3 x - 5) + (- 3 x^{2} - 8 x + 9)

- 2 x^{2} - 5 x + 4

Solution steps

(x^{2} + 3 x - 5) + (- 3 x^{2} - 8 x + 9)

Simplify

(x^{2} + 3 x - 5) + (- 3 x^{2} - 8 x + 9) : x^{2} + 3 x - 5 - 3 x^{2} - 8 x + 9

= x^{2} + 3 x - 5 - 3 x^{2} - 8 x + 9

Group like terms

= x^{2} - 3 x^{2} + 3 x - 8 x - 5 + 9

Add similar elements:

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

= - 2 x^{2} + 3 x - 8 x - 5 + 9

Add similar elements:

3 x - 8 x = - 5 x

= - 2 x^{2} - 5 x - 5 + 9

Add the numbers:

- 5 + 9 = 4

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

\frac{4}{x - 1} - \frac{2}{x + 2}

(x + 4) 3

\frac{6}{5} + \frac{3}{2}

x \cdot (- 4) x

3 x + (2 + 7 x)

What is (x^2+3x-5)+(-3x^2-8x+9) ?
The solution to (x^2+3x-5)+(-3x^2-8x+9) is -2x^2-5x+4