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Laws of Exponents

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Question

Select a suitable identity and the solution of the following equation:
$(3 t + 9 s) (3 t - 9 s)$ is $9 t^{2} - 81 s^{2}$

A

True

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B

False

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Solution

The correct option is A True
We multiply the given expression $(3 t + 9 s) (3 t - 9 s)$ as shown below:

$(3 t + 9 s) (3 t - 9 s) = (3 t)^{2} - (9 s)^{2} (∵ a^{2} - b^{2} = (a + b) (a - b)) = 9 t^{2} - 81 s^{2}$

Hence, $(3 t + 9 s) (3 t - 9 s) = 9 t^{2} - 81 s^{2}$ .

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