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Multiplication of Any Polynomial

State whether...

Question

State whether True or False.
The base and the altitude of a triangle are $(3 x - 4 y)$ and $(6 x + 5 y)$ respectively, then its area is $11 y^{2} + 9 y z - 9 z^{2}$ .

True

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False

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Solution

The correct option is B False
$A r e a i s e q u a l t o 1 / 2 b a s e * h e i g h t, (3 x - 4 y) (6 x + 5 y) = 1 / 2 (18 x^{2} - 20 y^{2} + 15 x y - 24 x y) = 9 x^{2} - 10 y^{2} - 9 / 2 x y$

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