What is (3x^2+4x-1)-(2x^2-5x+2) ?

The solution to (3x^2+4x-1)-(2x^2-5x+2) is x^2+9x-3

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simplify (3x^2+4x-1)-(2x^2-5x+2)

simplify

(3 x^{2} + 4 x - 1) - (2 x^{2} - 5 x + 2)

x^{2} + 9 x - 3

Solution steps

(3 x^{2} + 4 x - 1) - (2 x^{2} - 5 x + 2)

Apply rule:

(a) = a

(3 x^{2} + 4 x - 1) = 3 x^{2} + 4 x - 1

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

Apply the distributive law:

- (a - b) = - a + b

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

= 3 x^{2} + 4 x - 1 - 2 x^{2} + 5 x - 2

Group like terms

= 3 x^{2} - 2 x^{2} + 4 x + 5 x - 1 - 2

Add similar elements:

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

= x^{2} + 4 x + 5 x - 1 - 2

Add similar elements:

4 x + 5 x = 9 x

= x^{2} + 9 x - 1 - 2

Subtract the numbers:

- 1 - 2 = - 3

= x^{2} + 9 x - 3

\frac{3 - 2 3}{2 3 + 1}

(- 3 z^{2} + 4 z - 2) (2 z + 3)

\frac{1}{3} + 9

(\frac{a ^{3} b ^{2}}{ab})^{3}

(\frac{2}{2} + \frac{2}{2} i)^{4}

What is (3x^2+4x-1)-(2x^2-5x+2) ?
The solution to (3x^2+4x-1)-(2x^2-5x+2) is x^2+9x-3