What is (x^4-x^3+x^2-x+1)+(x+x^4-1-x^2) ?

The solution to (x^4-x^3+x^2-x+1)+(x+x^4-1-x^2) is 2x^4-x^3

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simplify (x^4-x^3+x^2-x+1)+(x+x^4-1-x^2)

simplify

(x^{4} - x^{3} + x^{2} - x + 1) + (x + x^{4} - 1 - x^{2})

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

Solution steps

(x^{4} - x^{3} + x^{2} - x + 1) + (x + x^{4} - 1 - x^{2})

Simplify

(x^{4} - x^{3} + x^{2} - x + 1) + (x + x^{4} - 1 - x^{2}) : x^{4} - x^{3} + x^{2} - x + 1 + x + x^{4} - 1 - x^{2}

= x^{4} - x^{3} + x^{2} - x + 1 + x + x^{4} - 1 - x^{2}

Group like terms

= x^{4} + x^{4} - x^{3} + x^{2} - x^{2} - x + x + 1 - 1

Add similar elements:

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

= 2 x^{4} - x^{3} + x^{2} - x^{2} - x + x + 1 - 1

Add similar elements:

x^{2} - x^{2} = 0

= 2 x^{4} - x^{3} - x + x + 1 - 1

Add similar elements:

- x + x = 0

= 2 x^{4} - x^{3} + 1 - 1

Subtract the numbers:

1 - 1 = 0

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

6 x^{2} - 4 a

(1 + w)^{3}

2 x^{2} y - 3 x y^{2}

(\frac{x + 2}{x ^{2}})^{4}

(n + 8)^{3}

What is (x^4-x^3+x^2-x+1)+(x+x^4-1-x^2) ?
The solution to (x^4-x^3+x^2-x+1)+(x+x^4-1-x^2) is 2x^4-x^3