What is (3x^3-2x^2+4x-8)-(5x^3+12x^2-3x-4) ?

The solution to (3x^3-2x^2+4x-8)-(5x^3+12x^2-3x-4) is -2x^3-14x^2+7x-4

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simplify (3x^3-2x^2+4x-8)-(5x^3+12x^2-3x-4)

simplify

(3 x^{3} - 2 x^{2} + 4 x - 8) - (5 x^{3} + 12 x^{2} - 3 x - 4)

- 2 x^{3} - 14 x^{2} + 7 x - 4

Solution steps

(3 x^{3} - 2 x^{2} + 4 x - 8) - (5 x^{3} + 12 x^{2} - 3 x - 4)

Apply rule:

(a) = a

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

= 3 x^{3} - 2 x^{2} + 4 x - 8 - (5 x^{3} + 12 x^{2} - 3 x - 4)

Apply the distributive law:

- (a + b) = - a - b

- (5 x^{3} + 12 x^{2} - 3 x - 4) = - 5 x^{3} - 12 x^{2} + 3 x + 4

= 3 x^{3} - 2 x^{2} + 4 x - 8 - 5 x^{3} - 12 x^{2} + 3 x + 4

Group like terms

= 3 x^{3} - 5 x^{3} - 2 x^{2} - 12 x^{2} + 4 x + 3 x - 8 + 4

Add similar elements:

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

= - 2 x^{3} - 2 x^{2} - 12 x^{2} + 4 x + 3 x - 8 + 4

Add similar elements:

- 2 x^{2} - 12 x^{2} = - 14 x^{2}

= - 2 x^{3} - 14 x^{2} + 4 x + 3 x - 8 + 4

Add similar elements:

4 x + 3 x = 7 x

= - 2 x^{3} - 14 x^{2} + 7 x - 8 + 4

Add the numbers:

- 8 + 4 = - 4

= - 2 x^{3} - 14 x^{2} + 7 x - 4

ln (e^{x^{2}})

(3 x + 7)^{2}

(x + 3) (x - 6)

- x^{- 2}

\frac{1}{2} \div \frac{2}{3}

What is (3x^3-2x^2+4x-8)-(5x^3+12x^2-3x-4) ?
The solution to (3x^3-2x^2+4x-8)-(5x^3+12x^2-3x-4) is -2x^3-14x^2+7x-4