- a) x - √x – 6 = x – 3√x + 2√x – 6
= √x ( √x – 3 ) + 2 (√x – 3 )
= (√x + 2 ) (√x – 3 )
- b) x - 4√x + 3 = ( x - 4√x + 4 ) – 1
= (√x – 2 )2 – 12
= (√x – 2 – 1 ) (√x – 2 + 1 )
= (√x – 3 ) ( √x – 1 )
- c) x - 5√x + 6 = x - 2√x - 3√x + 6
= (√x – 2 ) (√x – 3 )
- d) x + 2√x - 3 = x + √x - 3√x – 3
= √x ( √x + 1 ) – 3 (√x – 1 )
= (√x – 3 ) (√x – 1 )
- e) x + √x – 2 = x - √x + 2√x – 2
= (√x + 2 ) (√x – 1 )
- f) x - √x – 12 = x - 4√x + 3√x – 12
= (√x + 3 ) (√x – 4 )