Question

12 x square - 11 X y z - 15 y square z square factories ​

Answer 1

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

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Answer 2

Answer:

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

Solution:

Here,

The given polynomial is ;

12x² - 11xyz - 15y²z² .

We need to factorize the given polynomial .

Let's factorize it by middle term splitting method.

Working rule :

Split the middle term in such a way that the product of its parts is equal to the product of first and last term .

Thus,

=> 12x² - 11xyz - 15y²z²

=> 12x² - 20xyz + 9xyz - 15y²z²

=> 4x(3x - 5yz) + 3yz(3x - 5yz)

=> (3x - 5yz)(4x + 3yz)

Hence,

The required answer is :

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