What is expand (a+b)^3+1 ?

The solution to expand (a+b)^3+1 is a^3+3a^2b+3ab^2+b^3+1

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expand (a+b)^3+1

expand

(a + b)^{3} + 1

a^{3} + 3 a^{2} b + 3 a b^{2} + b^{3} + 1

Solution steps

(a + b)^{3} + 1

Apply Perfect Cube Formula:

(a + b)^{3} = a^{3} + 3 a^{2} b + 3 a b^{2} + b^{3}

(a + b)^{3} = a^{3} + 3 a^{2} b + 3 a b^{2} + b^{3}

= a^{3} + 3 a^{2} b + 3 a b^{2} + b^{3} + 1

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

9 x^{2} + 12 x + 4 - 16 y^{2}

2 sin^{2} (a) + 2 cos^{2} (a)

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

(\frac{x}{2} - \frac{y}{3})^{2}

What is expand (a+b)^3+1 ?
The solution to expand (a+b)^3+1 is a^3+3a^2b+3ab^2+b^3+1