What is expand (x^2*y+y)^3 ?

The solution to expand (x^2*y+y)^3 is x^6y^3+3x^4y^3+3x^2y^3+y^3

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expand (x^2*y+y)^3

expand

(x^{2} \cdot y + y)^{3}

x^{6} y^{3} + 3 x^{4} y^{3} + 3 x^{2} y^{3} + y^{3}

Solution steps

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

Apply Perfect Cube Formula:

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

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

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

Simplify

(x^{2} y)^{3} + 3 (x^{2} y)^{2} y + 3 x^{2} y y^{2} + y^{3} : x^{6} y^{3} + 3 x^{4} y^{3} + 3 x^{2} y^{3} + y^{3}

= x^{6} y^{3} + 3 x^{4} y^{3} + 3 x^{2} y^{3} + y^{3}

\frac{sin ( x ) tan ( x )}{sin ( 2 + y )}

25 \cdot (6 k - 5)^{2} - 64 \cdot (9 k + 4)^{2}

(1) a sin (a) - b sin (b) - cs in (a - b)

6 x y - 3 y + 4 x - 2

(\frac{32 x - 5 - 1}{( 3 x - 5 )})^{5}

What is expand (x^2*y+y)^3 ?
The solution to expand (x^2*y+y)^3 is x^6y^3+3x^4y^3+3x^2y^3+y^3