Select a suitable identity and prove the following equation:
$(k l - m n) (k l + m n)$ is $k^{2} l^{2} - m^{2} n^{2}$

True

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False

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Solution

The correct option is A True
We multiply the given expression $(k l - m n) (k l + m n)$ as shown below:

$(k l - m n) (k l + m n) = (k l)^{2} - (m n)^{2} (∵ a^{2} - b^{2} = (a + b) (a - b)) = k^{2} l^{2} - m^{2} n^{2}$

Hence, $(k l - m n) (k l + m n) = k^{2} l^{2} - m^{2} n^{2}$ .

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