Question

9xy^2-36x^2y factorise each of the folloowing​

Answer 1

Given:

The expression -

• 9xy² - 36x²y

What To Find:

We have to find -

• Factorise the following expression.

Solution:

9xy² - 36x²y

Take out the common factors where

⇒ 9x²y and 36x²y = 9xy

Take 4xy and put the non-common factors inside the brackets,

⇒ 9xy(y - 4x)

Verification:

9xy(y - 4x)

Remove the brackets,

⇒ 9xy × y - 9xy × 4x

Multiply the first term,

⇒ 9xy² - 9xy × 4x

Multiply the second term,

⇒ 9xy² - 36x²y

Since,

⇒ 9xy² - 36x²y = 9xy(y - 4x)

∴ Hence, verifed

∵ RHS = LHS

Final Answer:

∴ Thus, the answer is 9xy(4x - y)