Question

Find the products using identity(X/3-y/2) (X/3+y/2)

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Answer 1

Answer:

2x²-9y²

Step-by-step explanation:

=> (x/3)²-(y/2)²

=> x²/9-y²/4

=> 2x²-9y²/18

hope it helps♡

Answer 2

Given :

An equation $(\frac{x}{3}-\frac{y}{2} ) (\frac{x}{3}+\frac{y}{2} )$

To Find :

The product of the given equation.

Solution :

To solve the given equation we must what is an identity:

An identity is an equation that is true for all the values of variables.

for eg :$(a+b)^{2} = a^{2}+b^{2}+2ab$

Similarly, the identity that will solve the given equation is :

$(a-b)(a+b) = a^{2} -b^{2}$

Now, applying the identity:

$a=\frac{x}{3}\\b = \frac{y}{2}$

So,$(\frac{x}{3}-\frac{y}{2} ) (\frac{x}{3}+\frac{y}{2} ) = \frac{x}{3}^{2} -\frac{y}{2}^{2}$ = $\frac{4x^{2} -9y^{2} }{36}$

Hence the required answer is $\frac{4x^{2} -9y^{2} }{36}$