Question

What is the factor 4x^2-9

Answer 1

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

a

2

−

b

2

=

(

a

+

b

)

(

a

−

b

)

a

2

-

b

2

=

(

a

+

b

)

(

a

-

b

)

where

a

=

2

x

a

=

2

x

and

b

=

3

b

=

3

.

(

2

x

+

3

)

(

2

x

−

3

)

Explanation: