Select a suitable identity and expand the following products:
$(3 k + 4 l) (3 k + 4 l)$

9 k^{2} + 24 k l + 16 l^{2}

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9 k^{2} - 24 k l + 16 l^{2}

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9 k^{2} + 24 k l - 16 l^{2}

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None of these

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Solution

The correct option is A $9 k^{2} + 24 k l + 16 l^{2}$
We multiply the given polynomials $(3 k + 4 l) (3 k + 4 l)$ as shown below:

$(3 k + 4 l) (3 k + 4 l) = (3 k + 4 l)^{2} = (3 k)^{2} + (4 l)^{2} + (2 \times 3 k \times 4 l) (∵ (a + b)^{2} = a^{2} + b^{2} + 2 a b) = 9 k^{2} + 16 l^{2} + 24 k l$

Hence, $(3 k + 4 l) (3 k + 4 l) = 9 k^{2} + 24 k l + 16 l^{2}$ .

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