Answer:
10c a - 3; b = 4
10d See below
Explanation:
10c
The problem asks about
3² × 4² = 12²
The given rule is
a² × b² = (a × b)²
Match each number in the problem to each variable or expression in the given rule.
a = 3; b = 4; a × b = 3 × 4 = 12
Answer: a = 3; b = 4
10d
Let's use two sets of number for the formula.
a = 2; b = 5
a² × b² = (a × b)²
2² × 5² = 4 × 25 = 100
(2 × 5)² = 10² = 100
100 = 100
a = 6; b = 8
a² × b² = (a × b)²
6² × 8² = 36 × 64 = 2304
(6 × 8)² = 48² = 2304
2304 = 2304
The formula works every time.
The formula shows you that if you have to multiply the squares of two numbers, you can also multiply the numbers first, then square the product. The result is the same.