What is 5(x^2+2x-8)+3(-2x^2+5x-7) ?

The solution to 5(x^2+2x-8)+3(-2x^2+5x-7) is -x^2+25x-61

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simplify 5(x^2+2x-8)+3(-2x^2+5x-7)

simplify

5 (x^{2} + 2 x - 8) + 3 (- 2 x^{2} + 5 x - 7)

- x^{2} + 25 x - 61

Solution steps

5 (x^{2} + 2 x - 8) + 3 (- 2 x^{2} + 5 x - 7)

Expand

5 (x^{2} + 2 x - 8) : 5 x^{2} + 10 x - 40

= 5 x^{2} + 10 x - 40 + 3 (- 2 x^{2} + 5 x - 7)

Expand

3 (- 2 x^{2} + 5 x - 7) : - 6 x^{2} + 15 x - 21

= 5 x^{2} + 10 x - 40 - 6 x^{2} + 15 x - 21

Group like terms

= 5 x^{2} - 6 x^{2} + 10 x + 15 x - 40 - 21

Add similar elements:

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

= - x^{2} + 10 x + 15 x - 40 - 21

Add similar elements:

10 x + 15 x = 25 x

= - x^{2} + 25 x - 40 - 21

Subtract the numbers:

- 40 - 21 = - 61

= - x^{2} + 25 x - 61

3 x^{2} + 9

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

3 n^{2} - n

(2 x - 9)^{3}

3 + 81 x^{3} y^{3}

What is 5(x^2+2x-8)+3(-2x^2+5x-7) ?
The solution to 5(x^2+2x-8)+3(-2x^2+5x-7) is -x^2+25x-61