1itext Which of the following are the factors of 1 1 12 a b-9 a-12-16 b - 1

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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Byju's Answer

Standard IX

Mathematics

Trinomials of the Form ax² ± bx ± c

1itext Which ...

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

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

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

Suggest Corrections

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.

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