What is (2x-5y)^3+(2x+5y)^3 ?

The solution to (2x-5y)^3+(2x+5y)^3 is 16x^3+300xy^2

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simplify (2x-5y)^3+(2x+5y)^3

simplify

(2 x - 5 y)^{3} + (2 x + 5 y)^{3}

16 x^{3} + 300 x y^{2}

Solution steps

(2 x - 5 y)^{3} + (2 x + 5 y)^{3}

Expand

(2 x - 5 y)^{3} : 8 x^{3} - 60 x^{2} y + 150 x y^{2} - 125 y^{3}

= 8 x^{3} - 60 x^{2} y + 150 x y^{2} - 125 y^{3} + (2 x + 5 y)^{3}

Expand

(2 x + 5 y)^{3} : 8 x^{3} + 60 x^{2} y + 150 x y^{2} + 125 y^{3}

= 8 x^{3} - 60 x^{2} y + 150 x y^{2} - 125 y^{3} + 8 x^{3} + 60 x^{2} y + 150 x y^{2} + 125 y^{3}

Group like terms

= 8 x^{3} + 8 x^{3} - 60 x^{2} y + 60 x^{2} y + 150 x y^{2} + 150 x y^{2} - 125 y^{3} + 125 y^{3}

Add similar elements:

8 x^{3} + 8 x^{3} = 16 x^{3}

= 16 x^{3} - 60 x^{2} y + 60 x^{2} y + 150 x y^{2} + 150 x y^{2} - 125 y^{3} + 125 y^{3}

Add similar elements:

- 60 x^{2} y + 60 x^{2} y = 0

= 16 x^{3} + 150 x y^{2} + 150 x y^{2} - 125 y^{3} + 125 y^{3}

Add similar elements:

150 x y^{2} + 150 x y^{2} = 300 x y^{2}

= 16 x^{3} + 300 x y^{2} - 125 y^{3} + 125 y^{3}

Add similar elements:

- 125 y^{3} + 125 y^{3} = 0

= 16 x^{3} + 300 x y^{2}

m^{3} + 9 n^{3} + (m + n)^{3}

\frac{( 2 x \cdot y ^{2} ) ^{5}}{( ( 4 x ^{2} \cdot y ) ^{2} ) \cdot ( x \cdot y ^{3} )}

\frac{( a ^{2} + b ^{2} )}{( b ^{2} )}

8 x^{4} y^{3} z^{2} - 6 x^{3} y^{2} z

5 x + 2 y - 3 x + 5 y - 12 x

What is (2x-5y)^3+(2x+5y)^3 ?
The solution to (2x-5y)^3+(2x+5y)^3 is 16x^3+300xy^2