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

The solution to simplify (x^2+3x-7)-(3x^2-5x+3) is -2x^2+8x-10

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Subtract (x^2+3x-7)-(3x^2-5x+3)

simplify

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

- 2 x^{2} + 8 x - 10

Solution steps

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

Apply rule:

(a) = a

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

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

Apply the distributive law:

- (a - b) = - a + b

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

= x^{2} + 3 x - 7 - 3 x^{2} + 5 x - 3

Group like terms

= x^{2} - 3 x^{2} + 3 x + 5 x - 7 - 3

Add similar elements:

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

= - 2 x^{2} + 3 x + 5 x - 7 - 3

Add similar elements:

3 x + 5 x = 8 x

= - 2 x^{2} + 8 x - 7 - 3

Subtract the numbers:

- 7 - 3 = - 10

= - 2 x^{2} + 8 x - 10

x, \frac{3}{4} = \frac{6}{x}

∣ - 19 ∣

x^{2} - 3 x = 4 x

n, n \cdot 0.11 (n - 1) + 35 = 3 n

\frac{( 200 )}{( 5 )}

What is simplify (x^2+3x-7)-(3x^2-5x+3) ?
The solution to simplify (x^2+3x-7)-(3x^2-5x+3) is -2x^2+8x-10