Question

1/4x²-1/9y²
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Answer 1

Answer:

Our required solution to the given equation is :- (1/2x+1/3y)(1/2x-1/3y)

Step-by-step explanation:

1/4x²-1/9y²

= (1/2x)² - (1/3y)²

We know the identity that:-

a²- b² = (a+b) (a-b)

Here let 1/2x be a and 1/3y be b .

So according to the identity, we get the solution:-

(1/2x-1/3y)(1/2x+1/3y)

Hence our required solution is:-

(1/2x+1/3y)(1/2x-1/3y)