Factor of $16 (5 a + 6)^{2} - 25 (3 a - 4)^{2}$ are

(35a + 4).(5a + 4)

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(35a + 44),(5a + 4)

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(35a + 4),(5a + 44)

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(3a + 44),(5a + 4)

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Solution

The correct option is C (35a + 4),(5a + 44)
: $16 (5 a + 6)^{2} - 25 (3 a - 4)^{2}$
$(20 a + 24)^{2} - (15 a + 20)^{2}$
$= (20 a + 24 - 15 a + 20) (20 a + 24 + 15 a - 20)$
= $(5 a + 44) (35 a + 4)$
Hence, the factors are $(5 a + 44)$ & $(35 a + 4)$

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