State whether the given statement is true or false
$(4 p q - 6 p^{2} - 2 q^{2}) - 9 p^{2} = 4 p q - 15 p^{2} - 2 q^{2}$

True

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False

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Solution

The correct option is A True
Let us solve the given expression $(4 p q - 6 p^{2} - 2 q^{2}) - 9 p^{2}$ as shown below:

$(4 p q - 6 p^{2} - 2 q^{2}) - 9 p^{2} = 4 p q - 6 p^{2} - 2 q^{2} - 9 p^{2} = 4 p q + (- 6 p^{2} - 9 p^{2}) - 2 q^{2} (C o m b i n i n g l i k e t e r m s) = 4 p q + (- 6 - 9) p^{2} - 2 q^{2} = 4 p q - 15 p^{2} - 2 q^{2}$

Hence, $(4 p q - 6 p^{2} - 2 q^{2}) - 9 p^{2} = 4 p q - 15 p^{2} - 2 q^{2}$ .

Suggest Corrections

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