What is the complete factorization of 4x2 – 24xy + 36y2 ?

The complete factorization of are 4(x-3y)(x+3y)

Solution:

Given Data:

Take common value in all the three term.so we take 4 as common term in the above expression

Now factorize the expression

Find the two numbers, whose product should be 9 and sum should be -6.

-3,-3 are the numbers which satisfy the above condition.

When we add -3-3=Sum is 6

Product of -3 -3= 9  

-3 , -3 satisfies the condition.

So the expression will become as =

Take the common term

x(x-3y)+3y(x-3y)  

(x-3y)(x+3y)  

hence the complete factorization of are 4(x-3y)(x+3y)

this is a very good question

step-by-step explanation:

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