Question

Simplify: {x
3
+ y
5 }3 - {x
3
− y
5 }3

Answer 1

Step-by-step explanation:

=》[X/3 + Y/5]^3 - [X/3 - Y/5]^3

=》[X/3 + Y/5]^3 - [X/3 - Y/5]^3=》[X/3+Y/5+X/3-Y/3]^3 -3[X/3+Y/5][X/3-Y/5][X/3+Y/5+X/3+Y/5]

=》[X/3 + Y/5]^3 - [X/3 - Y/5]^3=》[X/3+Y/5+X/3-Y/3]^3 -3[X/3+Y/5][X/3-Y/5][X/3+Y/5+X/3+Y/5]=》[2x/3]^3 - 3[X^2/9-Y^2/25][2x/3]

=》[X/3 + Y/5]^3 - [X/3 - Y/5]^3=》[X/3+Y/5+X/3-Y/3]^3 -3[X/3+Y/5][X/3-Y/5][X/3+Y/5+X/3+Y/5]=》[2x/3]^3 - 3[X^2/9-Y^2/25][2x/3]=》8x^3/27 - [x^2/3 - 2y^2/25]2x/3

=》[X/3 + Y/5]^3 - [X/3 - Y/5]^3=》[X/3+Y/5+X/3-Y/3]^3 -3[X/3+Y/5][X/3-Y/5][X/3+Y/5+X/3+Y/5]=》[2x/3]^3 - 3[X^2/9-Y^2/25][2x/3]=》8x^3/27 - [x^2/3 - 2y^2/25]2x/3=》8x^3/27-2x^3/9+6xy^2/75

=》[X/3 + Y/5]^3 - [X/3 - Y/5]^3=》[X/3+Y/5+X/3-Y/3]^3 -3[X/3+Y/5][X/3-Y/5][X/3+Y/5+X/3+Y/5]=》[2x/3]^3 - 3[X^2/9-Y^2/25][2x/3]=》8x^3/27 - [x^2/3 - 2y^2/25]2x/3=》8x^3/27-2x^3/9+6xy^2/75=》6xy^2/75 ANS...