Question

5(3x - 4) +7(3x - 4) factorise ​

Answer 1

Answer:

5(3x-4)+7(3x-4)

(3x-4)(5+7)

12(3x-4)

Answer 2

Therefore the factorization of 5(3x - 4) +7(3x - 4) is '12( 3x - 4 )'.

Given:

The algebraic expression = 5(3x - 4) +7(3x - 4)

To Find:

The factorization of 5(3x - 4) +7(3x - 4).

Solution:

The given question can be answered as shown below.

Given algebraic expression = 5(3x - 4) +7(3x - 4)

Factorization of 5(3x - 4) +7(3x - 4):

⇒ 5 ( 3x - 4 ) + 7 ( 3x - 4 )

As ( 3x - 4 ) is a common term in both terms it can be taken out as common from both the terms.

⇒ ( 3x - 4 ) [ 5 + 7 ]  

⇒ 12 ( 3x - 4 )

Therefore the factorization of 5(3x - 4) +7(3x - 4) is '12( 3x - 4 )'.

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