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 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

2 x^{2} (3 x - 5 y)

\frac{5}{4} + \frac{7}{12}

y^{4} + 11 y^{3} + 30 y^{2}

e^{3} \cdot e^{7} + (e^{2})^{8}

\frac{8}{27}

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