(-5,4+1,6)+(-3,7)-(-10,5)

Let's evaluate the expression step by step: Expression: \((-5, 4+1, 6) + (-3,7) - (-10,5)\) First, clarify the notation: It appears to be a sequence of numbers that might represent a vector or points, but given the context, it looks like a sequence of numbers separated by commas, possibly representing a sum of vectors or ordered pairs. However, the notation is a bit ambiguous. Assuming it represents vectors: - \((-5, 4 + 1, 6)\): Let's evaluate \(4 + 1\): \[ (-5, 5, 6) \] - Then, the entire expression: \[ (-5, 5, 6) + (-3, 7) - (-10, 5) \] But the vectors are of different dimensions (3D vs 2D). Alternatively, perhaps the expression is: \[ (-5, 4 + 1, 6) + (-3, 7) - (-10, 5) \] and all are 3D vectors. If so, then perhaps the second and third parts are missing a coordinate. Alternatively, could it be that the notation is meant as: \[ (-5, 4 + 1, 6) + (-3, 7) - (-10, 5) \] which is an addition and subtraction of vectors in 2D or 3D? Without clarity, perhaps it is referencing scalar operations, i.e.: - \(-5\) - \(4 + 1 = 5\) - \(6\) - plus \(-3, 7\) - minus \(-10, 5\) But given the approach, probably the problem intends vector addition. Assuming all are 3D vectors (filling missing axes with zeros), or that the coordinate after the comma are part of a tuple: Let's assume the initial vector is: \[ (-5, 4 + 1, 6) = (-5, 5, 6) \] The next vector: \[ (-3, 7, 0) \] And the last: \[ (-10, 5, 0) \] Perform the operations: \[ (-5, 5, 6) + (-3, 7, 0) = (-5 + -3, 5 + 7, 6 + 0) = (-8, 12, 6) \] Subtract: \[ (-8, 12, 6) - (-10, 5, 0) = (-8 - (-10), 12 - 5, 6 - 0) = (-8 + 10, 12 - 5, 6) = (2, 7, 6) \] **Final answer:** \(\boxed{(2, 7, 6)}\) --- If this aligns with your notation, then the result is \(\boxed{(2, 7, 6)}\).