Question

Express each of these sums in the form a(b + c) where b and c do not have a common factor. Show all work.

1. 6 + 21

2. 27 + 45

3. 32 + 48

4. 30 + 75

5. 88 + 24

Answer 1

Explanation:

6+21=2×3+3×7=3×(2+7)

27+45=3×3×3+5×3×3=9×(3+5)

32+48=2^5+3×2^4=16×(2+3)

30+75=2×3×5+3×5×5=15×(2+5)

88+24=2×2×2×11+2×2×2×3=8×(11+3)