On multiplying the binomials:
$2 a - 9$ and $3 a + 4$ , we get $6 a^{2} - 19 a - 36$

True

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False

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Solution

The correct option is A True
We multiply the given binomials $(2 a - 9)$ and $(3 a + 4)$ as shown below:

$(2 a - 9) (3 a + 4) = 2 a (3 a + 4) - 9 (3 a + 4) = 6 a^{2} + 8 a - 27 a - 36 = 6 a^{2} + (8 a - 27 a) - 36 (Combining like terms) = 6 a^{2} + a (8 - 27) - 36 = 6 a^{2} - 19 a - 36$

Hence, $(2 a - 9) (3 a + 4) = 6 a^{2} - 19 a - 36$ .

So, the given statement is true.

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