Factorize the below equation:
$b (a + d) - c (a + d)$

(a - c) (b + d)

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(b + c) (a - d)

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(b - c) (a + d)

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None of these

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Solution

The correct option is D $(b - c) (a + d)$
The common factor between $b (a + d)$ and $c (a + d)$ is $(a + d)$ that is the HCF of $b (a + d)$ and $c (a + d)$ is $(a + d)$ .
Therefore, we take $(a + d)$ as a common factor in the expression $b (a + d) - c (a + d)$ as shown below:
$b (a + d) - c (a + d) = (a + d) (b - c)$
Hence, the factorization of $b (a + d) - c (a + d)$ is $(b - c) (a + d)$ .

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