Question

factorise 4x^2-9y^2​

Answer 1

Answer:

4

x

2

−

9

y

2

can be also written as

(

2

x

)

2

−

(

3

y

)

2

Now, as per identity:

a

2

−

b

2

=

(

a

+

b

)

(

a

−

b

)

So , in case of our expression

a=2x,b=3y(2x)2−(3y)2=(2x+3y)(2x−3y)

Answer 2

Answer:

(4x²-9y²) ={(2x) ²-(3y) ²}

a²-b²=(a+b) (a-b)

so,

4x²-9y²=(2x+3y) (2x-3y).