Question

2. Factorize:
(a) 16x2 - y^2​

Answer 1

Answer:

Rewrite

16

x

2

as

(

4

x

)

2

.

(

4

x

)

2

−

y

2

Since both terms are perfect squares, factor using the difference of squares formula,

a

2

−

b

2

=

(

a

+

b

)

(

a

−

b

)

where

a

=

4

x

and

b

=

y

.

(

4

x

+

y

)

(

4

x

−

y

)

Answer 2

Answer:

16 x^2 - y^2

(4x)^2 -( y)^2

using identity a^2 - b^2 = (a+ b)( a - b)

(4x + y )( 4x - y)