Question

Factorise: (25x² + 4) - (5x + 4)​

Answer 1

Answer:

Rewrite

25

x

2

as

(

5

x

)

2

.

(

5

x

)

2

−

4

Rewrite

4

as

2

2

.

(

5

x

)

2

−

2

2

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

a

2

−

b

2

=

(

a

+

b

)

(

a

−

b

)

where

a

=

5

x

and

b

=

2

.

(

5

x

+

2

)

(

5

x

−

2

)