Question

Expand. If necessary, combine like terms. (4x + 1)(4x + 1) =

Answer 1

(4x + 1)(4x + 1)

4x · 4x = 16x²

4x · 1 = 4x

1 · 4x = 4x

1 · 1 = 1

16x² + 4x + 4x + 1

16x² + 8x + 1

Answer 2

Answer: 16x² + 8x + 1

Step-by-step explanation:

(4x + 1)(4x + 1)

This expansion can be done in two ways either by direct expansion or by indirect expansion

(1) Direct expansion

(4x + 1)(4x + 1 )

4x X 4x + 4x X 1 + 1 X 4x + 1 X 1

= 16x² + 4x + 4x + 1

= 16x² + 8x + 1

(2) Method

This can be written thus:

(4x + 1 )(4x + 1 ) = (4x + 1 )²

= (4x)² + 2( 4x X 1 ) + 1²

= 16x² + 2(4x) + 1

= 16x² + 8x + 1.