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

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

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

simplify

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

3 x + 1

Solution steps

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

Expand

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

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

Group like terms

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

Add similar elements:

x^{3} - x^{3} = 0

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

Add similar elements:

3 x^{2} - 3 x^{2} = 0

= 3 x + 1

18 x y + 3 y

(2 x^{2} + 10 x - 2) - (- 8 x^{2} + 7 x + 7)

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

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

(3 x^{2} + 10) - (- 7 x^{2} - 9 x)