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

The solution to expand x^3+(y+z)^3 is x^3+y^3+3y^2z+3yz^2+z^3

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

expand

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

x^{3} + y^{3} + 3 y^{2} z + 3 y z^{2} + z^{3}

Solution steps

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

Apply Perfect Cube Formula:

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

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

= x^{3} + y^{3} + 3 y^{2} z + 3 y z^{2} + z^{3}

\frac{( x ^{- 3} ) ^{2}}{( x ^{2} ) ^{- 1}}

8 x^{3} - 8 y^{3}

8 a^{3} - 27 y^{3}

(x + 1) + (x + 1)

7 - lo g_{10} (7 a)

What is expand x^3+(y+z)^3 ?
The solution to expand x^3+(y+z)^3 is x^3+y^3+3y^2z+3yz^2+z^3