Question

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

Answer 1

$\bold\blue{x⁹+y⁹}$

Step-by-step explanation:

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

I hope it helps you.

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