The factors of 12 ab -9 a -12-16 b areA- 4 b-33 a-4B- 4 a-33 b-4C- 2 b-33 a-6D- 4 b-33 a-4

The correct option is A (4b+3)(3a+4) 12ab + 9a + 12 + 16b = 3a × (4b + 3) + 4 × (3 + 4b) The factors of 12ab + 9a + 12 + 16b are (4b + 3) × (3a + 4). So, 4b + ...

You visited us 1 times! Enjoying our articles? Unlock Full Access!

Byju's Answer

Standard VII

Mathematics

Factors of a Term

The factors o...

Question

The factors of 12ab + 9a + 12 + 16b are

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

Right on! Give the BNAT exam to get a 100% scholarship for BYJUS courses

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

No worries! We‘ve got your back. Try BYJU‘S free classes today!

(2b+3)(3a+6)

No worries! We‘ve got your back. Try BYJU‘S free classes today!

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

No worries! We‘ve got your back. Try BYJU‘S free classes today!

Open in App

Solution

The correct option is A
(4b+3)(3a+4)

12ab + 9a + 12 + 16b = 3a $\times$ (4b + 3) + 4 $\times$ (3 + 4b)

The factors of 12ab + 9a + 12 + 16b are (4b + 3) $\times$ (3a + 4).

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

Suggest Corrections

Similar questions

The factor(s) of 12ab + 9a + 12 + 16b is/are:

12 a b + 9 a + 12 + 16 b =

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

Q. Factorize:

6 a^{2} - a - 15

Q. Tick (✓) the correct answer:
6a² − 13a + 6 = ?
(a) (2a + 3)(3a − 2)
(b) (2a − 3)(3a + 2)
(c) (3a − 2)(2a − 3)
(d) (3a + 1)(2a − 3)

Join BYJU'S Learning Program

The factors of 12ab + 9a + 12 + 16b are

The correct option is A (4b+3)(3a+4) 12ab + 9a + 12 + 16b = 3a × (4b + 3) + 4 × (3 + 4b) The factors of 12ab + 9a + 12 + 16b are (4b + 3) × (3a + 4). So, 4b + 3 and 3a + 4 are the irreducible factors of the given algebraic expression.

The correct option is A
(4b+3)(3a+4)

12ab + 9a + 12 + 16b = 3a $\times$ (4b + 3) + 4 $\times$ (3 + 4b)

The factors of 12ab + 9a + 12 + 16b are (4b + 3) $\times$ (3a + 4).

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