(-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 \(\boxed{(2, 7, 6)}\).