Question

(x+y)^3-(x-y)^3
$(x+y)^3-(x-y)^3$

Answer 1

Answer:

$\large \color{red} \bold{(x+y)^3-(x-y)^3}$

$\color{blue}\bold{ = ((x + y) - (x - y))( {(x + y)}^{2} + (x + y)(x - y) + {(x - y)}^{2} )}$

$\color{blue}\bold{ = (x + y - x + y)( {x}^{2} + 2xy + {y}^{2} + {x}^{2} - {y}^{2} + {x}^{2} - 2xy + {y}^{2} )}$

$\color{blue}\bold{ = 2 y(3 {x}^{2} + {y}^{2} )}$

$\color{blue}\bold{ = \boxed{\bold{6 {x}^{2} y + 2{y}^{3} }}}$