What is (2x^3+4x^2+x-10)-(2x^4-x^3+5x-6) ?

The solution to (2x^3+4x^2+x-10)-(2x^4-x^3+5x-6) is -2x^4+3x^3+4x^2-4x-4

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simplify (2x^3+4x^2+x-10)-(2x^4-x^3+5x-6)

simplify

(2 x^{3} + 4 x^{2} + x - 10) - (2 x^{4} - x^{3} + 5 x - 6)

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

Solution steps

(2 x^{3} + 4 x^{2} + x - 10) - (2 x^{4} - x^{3} + 5 x - 6)

Apply rule:

(a) = a

(2 x^{3} + 4 x^{2} + x - 10) = 2 x^{3} + 4 x^{2} + x - 10

= 2 x^{3} + 4 x^{2} + x - 10 - (2 x^{4} - x^{3} + 5 x - 6)

Apply the distributive law:

- (a - b) = - a + b

- (2 x^{4} - x^{3} + 5 x - 6) = - 2 x^{4} + x^{3} - 5 x + 6

= 2 x^{3} + 4 x^{2} + x - 10 - 2 x^{4} + x^{3} - 5 x + 6

Group like terms

= - 2 x^{4} + 2 x^{3} + x^{3} + 4 x^{2} + x - 5 x - 10 + 6

Add similar elements:

2 x^{3} + x^{3} = 3 x^{3}

= - 2 x^{4} + 3 x^{3} + 4 x^{2} + x - 5 x - 10 + 6

Add similar elements:

x - 5 x = - 4 x

= - 2 x^{4} + 3 x^{3} + 4 x^{2} - 4 x - 10 + 6

Add the numbers:

- 10 + 6 = - 4

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

\frac{5 x ^{2} - 45}{x ^{3} + 2 x ^{2} - 11 x - 12}

2 x^{3} + 2 x

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

\frac{\frac{1}{1}}{3}

a^{2} + 17 a + 72

What is (2x^3+4x^2+x-10)-(2x^4-x^3+5x-6) ?
The solution to (2x^3+4x^2+x-10)-(2x^4-x^3+5x-6) is -2x^4+3x^3+4x^2-4x-4