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

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

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

simplify

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

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

Solution steps

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

Apply rule:

(a) = a

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

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

Apply the distributive law:

- (- a + b) = a - b

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

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

Group like terms

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

Add similar elements:

x^{5} + x^{5} = 2 x^{5}

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

Add similar elements:

- 3 x - 3 x = - 6 x

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

Subtract the numbers:

4 - 4 = 0

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

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\frac{x ^{2} - 9}{x ^{2} - 8 x + 15}

\frac{12 x y ^{7}}{4 x ^{3} y ^{8}}

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