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.
(4x + 1)(4x + 1)
4x · 4x = 16x²
4x · 1 = 4x
1 · 4x = 4x
1 · 1 = 1
16x² + 4x + 4x + 1
16x² + 8x + 1
