What is expand (x-3)^3+y^3 ?

The solution to expand (x-3)^3+y^3 is x^3-9x^2+27x-27+y^3

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expand (x-3)^3+y^3

expand

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

x^{3} - 9 x^{2} + 27 x - 27 + y^{3}

Solution steps

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

Apply Perfect Cube Formula:

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

(x - 3)^{3} = x^{3} - 3 x^{2} \cdot 3 + 3 x \cdot 3^{2} - 3^{3}

= x^{3} - 3 x^{2} \cdot 3 + 3 x \cdot 3^{2} - 3^{3} + y^{3}

Simplify

x^{3} - 3 x^{2} \cdot 3 + 3 x \cdot 3^{2} - 3^{3} : x^{3} - 9 x^{2} + 27 x - 27

= x^{3} - 9 x^{2} + 27 x - 27 + y^{3}

(x + 3) \cdot x^{4}

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

x - 1 0^{0} y^{2} x + 1 0^{0} b

15 + a^{2} b + 5 b + 3 a^{2}

\frac{1}{( \frac{1}{a} + \frac{1}{b} )}

What is expand (x-3)^3+y^3 ?
The solution to expand (x-3)^3+y^3 is x^3-9x^2+27x-27+y^3