Fill in the blanks :
If $x, y, z$ are three integer, then $(x + y) +$ $(_) = () + (__)$

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Solution

Associative property of addition: changing the grouping of addends does not change the sum.
For example,
$(2 + 3) + 4 = 2 + (3 + 4) \Rightarrow 5 + 4 = 2 + 7 \Rightarrow 9 = 9$

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α x + y + z = α - 1

x + α y + z = α - 1

x + y + α z = α - 1

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= 1, 2 x + y + z = 2, x + 2 y - a z = - 1

A = (x_{1}, y_{1})

B = (x_{2}, y_{2}), C = (x_{3}, y_{3})

(x - x_{1})^{2} + (y - y_{1})^{2} =

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(x - x_{2})^{2} + (y - y_{2})^{2} = a^{2}, (x - x_{3})^{2} + (y - y_{3})^{2} = a^{2}

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