State True or False.
$(x^{2} - 3 x)^{2} - 5 (x^{2} + 3 x) - y (x^{2} + 3 x) + 5 y$ $= (x^{2} + 3 x - 5) (x^{2} + 3 x - y)$

True

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False

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Solution

The correct option is A True
We have, $(x^{2} + 3 x)^{2} - 5 (x^{2} + 3 x) - y (x^{2} + 3 x) + 5 y$
$= (x^{2} + 3 x) [(x^{2} + 3 x) - 5] - y [(x^{2} + 3 x) - 5]$
$= (x^{2} + 3 x - 5) (x^{2} + 3 x - y)$

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