The value of -(5 - 3)² + (8 - -2) - 3(4 + -1)² is -21
Step-by-step explanation:
Let us revise some notes about the positive and negative numbers
- a - b = + value if a > b
- a - b = - value if a < b
- a + (-b) = a - b
- a - (-b) = a + b
- a(-b) =-a(b) = -ab
Let us evaluate -(5 - 3)² + (8 - -2) - 3(4 + -1)²
∵ 5 - 3 = 2 ⇒ 1st note above
∵ 8 - (-2) = 8 + 2 = 10 ⇒ 4th note above
∵ 4 + (-1) = 4 - 1 = 3 ⇒ 3rd note above
- Substitute them in the expression above
∴ -(5 - 3)² + (8 - -2) - 3(4 + -1)² = -(2)² + (10) - 3(3)²
∵ -(2)² = -(4) = -4 ⇒ 5th note above
∵ -3(3)² = -3(9) = -27
∴ -(2)² + (10) - 3(3)² = -4 + 10 - 27
∵ -4 + 10 - 27 = (-4 + -27) + 10 = -31 + 10 = -21
∴ -(2)² + (10) - 3(3)² = -21
∴ -(5 - 3)² + (8 - -2) - 3(4 + -1)² = -21
The value of -(5 - 3)² + (8 - -2) - 3(4 + -1)² is -21
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