a) 3x(x + 2)
= 3x.x + 3x.2
= 3x2 + 6x
b) 4x(x - 5)
= 4x.x + 4x.(-5)
= 4x2 - 20x
c) x(x + 3)
= x.x + x.3
= x2 + 3x
d) x(x + 5)
= x.x + x.5
= x2 + 5x
e) (x + 5)(x + 1)
= x(x + 1) + 5(x + 1)
= x.x + x.1 + 5.x + 5.1
= x2 + x + 5x + 5
= x2 + 6x + 5
f) (x + 2)(x + 3)
= x(x + 3) + 2(x + 3)
= x.x + x.3 + 2.x + 2.3
= x2 + 3x + 2x + 6
= x2 + 5x + 6
g) (x + 3)(x + 4)
= x(x + 4) + 3(x + 4)
= x.x + x.4 + 3.x + 3.4
= x2 + 4x + 3x + 12
= x2 + 7x + 12
h) (x + 1)(x - 2)
= x(x - 2) + 1(x - 2)
= x.x + x.(-2) + 1.x + 1.(-2)
= x2 - 2x + x - 2
= x2 - x - 2