1.

If the adjacent sides of a rectangle are (x³+y³) and ( x⁶-x³y³+y⁶) find its area​

Answer»

\bold\blue{x⁹+y⁹}

Step-by-step EXPLANATION:

Area= (x³+y³)( x⁶-x³y³+y⁶) \\  =  {x}^{3}( x⁶-x³y³+y⁶) +  {y}^{3} ( x⁶-x³y³+y⁶) \\  =  {x}^{9}  -  {x}^{6}  {y}^{3} +  {x}^{3} {y}^{6}    +  {x}^{6}  {y}^{3} -  {x}^{3}  {y}^{6}   +  {y}^{9}  \\  =  {x}^{9}  +  {y}^{9}

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