Question

Factorise x^2 + 4x + 4

Answer 1

solution

a + b = 4

ab = 1 × 4 = 4

1 , 4

2 , 2

1 + 4 = 5

2 + 2 = 4

a = 2

b = 2

( x ² + 2x ) + ( 2x + 4 )

x ( x + 2 ) + 2 ( x + 2 )

( x + 2 ) ( x + 2 )

( x + 2 ) ²