Question

Using appropriate idenlity factorise 4x^2-y/9

Answer 1

Answer:

4x

2

−

9

y

2

(2x)

2

−(

9

y

2

)

Using identity a

2

−b

2

=(a+b)(a−b)

⇒(2x)

2

−(

9

y

2

)=(2x+

3

y

)(2x−

3

y

)

Hence, 4x

2

−

9

y

2

=(2x+

3

y

)(2x−

3

y

)

Hence, the answer is (2x+

3

y

)(2x−

3

y

).