State whether True or False.
The adjacent sides of a rectangle are $x^{2} - 4 x y + 7 y^{2}$ and $x^{3} - 5 x y^{2}$ , then its area is $(x^{5} - 4 x^{4} y + 2 x^{3} y^{2} + 20 x^{2} y^{3} - 35 x y^{4})$ .

True

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False

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Solution

The correct option is A True
$A r e a i s e q u a l t o m u l t i p l i c a t i o n s i d e s, (x^{2} - 4 x y + 7 y^{2}) (x^{3} - 5 x y^{2}) = x^{5} - {5 x}^{3} y^{2} - 4 x^{4} y + 20 x^{2} y^{3} + 7 x^{3} y^{2} - 35 x y^{4} = x^{5} - 4 x^{4} y + 20 x^{2} y^{3} + 2 x^{3} y^{2} - 35 x y^{4}$

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Similar questions

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