What is 3x^2-x+2-5x^2+8x-5 ?

The solution to 3x^2-x+2-5x^2+8x-5 is -2x^2+7x-3

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simplify 3x^2-x+2-5x^2+8x-5

simplify

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

- 2 x^{2} + 7 x - 3

Solution steps

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

Group like terms

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

Add similar elements:

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

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

Add similar elements:

- x + 8 x = 7 x

= - 2 x^{2} + 7 x + 2 - 5

Subtract the numbers:

2 - 5 = - 3

= - 2 x^{2} + 7 x - 3

10 - 4 (2 x + 7)

- 3 \cdot 10

2 x + 5 - \frac{25}{1 - 2 x}

\frac{x}{x + 1} (x - \frac{1}{x})

2 \div \frac{1}{5}