What is (4x^2+8x-4)-(3x^2+6x-2) ?

The solution to (4x^2+8x-4)-(3x^2+6x-2) is x^2+2x-2

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simplify (4x^2+8x-4)-(3x^2+6x-2)

simplify

(4 x^{2} + 8 x - 4) - (3 x^{2} + 6 x - 2)

x^{2} + 2 x - 2

Solution steps

(4 x^{2} + 8 x - 4) - (3 x^{2} + 6 x - 2)

Apply rule:

(a) = a

(4 x^{2} + 8 x - 4) = 4 x^{2} + 8 x - 4

= 4 x^{2} + 8 x - 4 - (3 x^{2} + 6 x - 2)

Apply the distributive law:

- (a + b) = - a - b

- (3 x^{2} + 6 x - 2) = - 3 x^{2} - 6 x + 2

= 4 x^{2} + 8 x - 4 - 3 x^{2} - 6 x + 2

Group like terms

= 4 x^{2} - 3 x^{2} + 8 x - 6 x - 4 + 2

Add similar elements:

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

= x^{2} + 8 x - 6 x - 4 + 2

Add similar elements:

8 x - 6 x = 2 x

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

Add the numbers:

- 4 + 2 = - 2

= x^{2} + 2 x - 2

\frac{5}{8} + \frac{5}{4}

\frac{x + 1}{x ^{2} - 4 x - 5}

(7 + 5 i) (7 - 5 i)

(8 k^{3}) (- 8 k^{4})

\frac{36}{9}

What is (4x^2+8x-4)-(3x^2+6x-2) ?
The solution to (4x^2+8x-4)-(3x^2+6x-2) is x^2+2x-2