Which of the following are the nbsp-factors nbsp-of - 12ab - 9a - 12 - 16b -3a - nbsp-4- and -4b - nbsp-3-3a - nbsp-4- and -4b - 3-3a - 4- and -4b - 3-3a - 4-4b - 3-

The correct option is C (3a + 4) and (4b + 3)Given, the expression is 12ab + 9a + 12 + 16b . Taking 3a nbsp;common from the first two terms and 4 nbsp; ...

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Standard VII

Mathematics

Factors of Algebraic Expression

Which of the ...

Question

$Which of the following are the factors of 12 a b + 9 a + 12 + 16 b ?$

$(3 a - 4) and (4 b - 3)$

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$(3 a - 4) and (4 b + 3)$

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(3 a + 4) and (4 b + 3)

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(3 a + 4) (4 b - 3)

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Solution

The correct option is C $(3 a + 4) and (4 b + 3)$
$Given, the expression is 12 a b + 9 a + 12 + 16 b .$

$Taking 3a common from the first two terms and 4 common from the last two terms, we get 12 a b + 9 a + 12 + 16 b = 3 a (4 b + 3) + 4 (3 + 4 b) = (3 a + 4) (3 + 4 b)$

$So, (4 b + 3) and (3 a + 4) are the irreducible factors of the given expression.$

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Similar questions

$6 a^{2} - 13 a + 6 = ? (a) (2 a + 3) (3 a - 2) (b) (2 a - 3) (3 a + 2) (c) (3 a - 2) (2 a - 3) (d) (3 a + 1) (2 a - 3)$

Q. Tick (✓) the correct answer:
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\cot A + \cot (60 ° + A) + \cot (120 ° + A) = 3 \cot 3 A

\cot A + \cot (60 ° + A) - c o t (60 ° - A) = 3 \cot 3 A

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$c o t A + c o t (60^{\circ} + A) - c o t (60^{\circ} - A) = 3 c o t 3 A$

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Which of the following are the factors of 12ab+9a+12+16b?

The correct option is C (3a+4)and (4b+3)Given, the expression is 12ab+9a+12+16b. Taking 3a common from the firsttwo terms and 4 common from the last two terms, we get 12ab+9a+12+16b=3a(4b+3)+4(3+4b)=(3a+4)(3+4b) So, (4b+3)and (3a+4)are the irreducible factors of the given expression.

$Which of the following are the factors of 12 a b + 9 a + 12 + 16 b ?$