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Functions

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Question

Select a suitable identity and the product of the following equation
$(6 x + 5) (6 x + 6)$ is $36 x^{2} + 66 x + 30$

A

True

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B

False

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Solution

The correct option is A True
We multiply the given expression $(6 x + 5) (6 x + 6)$ as shown below:

$(6 x + 5) (6 x + 6) = 6 x (6 x + 6) + 5 (6 x + 6) = (6 x \times 6 x) + (6 x \times 6) + (5 \times 6 x) + (5 \times 6) = 36 x^{2} + 36 x + 30 x + 30 = 36 x^{2} + (36 + 30) x + 30 (C o m b i n i n g l i k e t e r m s) = 36 x^{2} + 66 x + 30$

Hence, $(6 x + 5) (6 x + 6) = 36 x^{2} + 66 x + 30$ .

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