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Popular >

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

Solution

simplify

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

Solution

3 x^{2} + 3 x + 1

Solution steps

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

Expand

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

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

Group like terms

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

Add similar elements:

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

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

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Frequently Asked Questions (FAQ)

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