Answer:
1. x² – 11x + 24
2. a² + 5a + 6
Explanation:
1. (x – 3)(x – 8) =?
Use the entities in the first bracket to multiply the second bracket. This is illustrated below:
(x – 3)(x – 8)
x (x – 8) – 3(x – 8)
x² – 8x – 3x + 24
x² – 11x + 24
Thus, the product of (x – 3)(x – 8) is
x² – 11x + 24
2. (a + 3)(a + 2) =?
Use the entities in the first bracket to multiply the second bracket. This is illustrated below:
a(a + 2) + 3(a + 2)
a² + 2a + 3a + 6
a² + 5a + 6
Thus, the product of (a + 3)(a + 2) is:
a² + 5a + 6