Question

(x+y)^3-(x-y)^3-6x^2y-y^2

Answer 1

$\huge{\texttt{\underline{\underline{SOLUTION:-}}}}$

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

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

${x}^{3} + 3 {x}^{2} y + 3x {y}^{2} + {y}^{3} - {x}^{3} + 3 {x}^{2} y - 3x {y}^{2} + {y}^{3} - {6x}^{2y} - {y}^{2}$

$6 {x}^{2} y + 2 {y}^{3} - {6x}^{2y} - {y}^{2}$

$\textsf{\underline{\underline{STEPS:-}}}$

1)Expand the expressions

2)Remove parenthesis

3) Eliminate the opposites and

collect the like terms