(x + 1)² + 2 (x + 1) + 1

is gelijk aan 		A.   (x + 1)²
B.   (x + 2)²
C.   (x − 2)²
D.   x (x + 4)
E.   (x + 1) (x + 2)
A    B    C    D    E

[ 3-8140 - op net sinds 17.9.2017-(E)-27.10.2023 ]

Translation in   E N G L I S H

(x + 1)² + 2 (x + 1) + 1
is equal to 		A.   (x + 1)²
B.   (x + 2)²
C.   (x − 2)²
D.   x (x + 4)
E.   (x + 1) (x + 2)

Oplossing - Solution

1ste manier :
(x + 1)² + 2 (x + 1) + 1 = [(x+1) + 1)]² = (x + 2)²
2de manier :
(x + 1)² + 2 (x + 1) + 1 = x² + 2x + 1 + 2x + 2 + 1 = x² + 4x + 4 = (x + 2)²