Answer:
16
Step-by-step explanation:
Simplify the following:
3^2 (-4) + 21/7 + (14/2)^2
Hint: | Reduce 21/7 to lowest terms. Start by finding the GCD of 21 and 7.
The gcd of 21 and 7 is 7, so 21/7 = (7×3)/(7×1) = 7/7×3 = 3:
3^2 (-4) + 3 + (14/2)^2
Hint: | Reduce 14/2 to lowest terms. Start by finding the GCD of 14 and 2.
The gcd of 14 and 2 is 2, so 14/2 = (2×7)/(2×1) = 2/2×7 = 7:
3^2 (-4) + 3 + 7^2
Hint: | Evaluate 3^2.
3^2 = 9:
9 (-4) + 3 + 7^2
Hint: | Multiply 9 and -4 together.
9 (-4) = -36:
-36 + 3 + 7^2
Hint: | Evaluate 7^2.
7^2 = 49:
-36 + 3 + 49
Hint: | Evaluate 3 + 49 using long addition.
| 1 |
| 4 | 9
+ | | 3
| 5 | 2:
52 - 36
Hint: | Subtract 36 from 52.
| 4 | 12
| 5 | 2
- | 3 | 6
| 1 | 6:
Answer: 16