What is (7x-5y)^3-(7x+5y)^3 ?

The solution to (7x-5y)^3-(7x+5y)^3 is -1470x^2y-250y^3

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simplify (7x-5y)^3-(7x+5y)^3

simplify

(7 x - 5 y)^{3} - (7 x + 5 y)^{3}

- 1470 x^{2} y - 250 y^{3}

Solution steps

(7 x - 5 y)^{3} - (7 x + 5 y)^{3}

Expand

(7 x - 5 y)^{3} : 343 x^{3} - 735 x^{2} y + 525 x y^{2} - 125 y^{3}

= 343 x^{3} - 735 x^{2} y + 525 x y^{2} - 125 y^{3} - (7 x + 5 y)^{3}

Expand

- (7 x + 5 y)^{3} : - 343 x^{3} - 735 x^{2} y - 525 x y^{2} - 125 y^{3}

= 343 x^{3} - 735 x^{2} y + 525 x y^{2} - 125 y^{3} - 343 x^{3} - 735 x^{2} y - 525 x y^{2} - 125 y^{3}

Group like terms

= 343 x^{3} - 343 x^{3} - 735 x^{2} y - 735 x^{2} y + 525 x y^{2} - 525 x y^{2} - 125 y^{3} - 125 y^{3}

Add similar elements:

343 x^{3} - 343 x^{3} = 0

= - 735 x^{2} y - 735 x^{2} y + 525 x y^{2} - 525 x y^{2} - 125 y^{3} - 125 y^{3}

Add similar elements:

- 735 x^{2} y - 735 x^{2} y = - 1470 x^{2} y

= - 1470 x^{2} y + 525 x y^{2} - 525 x y^{2} - 125 y^{3} - 125 y^{3}

Add similar elements:

525 x y^{2} - 525 x y^{2} = 0

= - 1470 x^{2} y - 125 y^{3} - 125 y^{3}

Add similar elements:

- 125 y^{3} - 125 y^{3} = - 250 y^{3}

= - 1470 x^{2} y - 250 y^{3}

a^{3} + 27 b^{6}

\frac{72}{3} \cdot \frac{78}{5} \cdot \frac{73}{7}

j (- 221) e k (3 - 4)

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

(1 + 7) 2 x - 2

What is (7x-5y)^3-(7x+5y)^3 ?
The solution to (7x-5y)^3-(7x+5y)^3 is -1470x^2y-250y^3