MCQ
The expanded form of $(x + y - z)^2$ is:
- A$x^2 + y^2 + z^2 + 2xy + 2yx + 2xz$
- ✓$x^2 + y^2 + z^2- 2xy - 2yz - 2zx$
- C$x^2 + y^2 + z^2 + 2xy + 2xy + 2zx$
- D$x^2 + y^2 + z^2 + 2xy + 2yz - 2xz$
✓
Answer
Correct option: B.
$x^2 + y^2 + z^2- 2xy - 2yz - 2zx$
$(x + y - z)^2 = (x)^2 + (y)^2 + (-z)^2 + 2 × x × y + 2 × y × (-z) + 2 × (-z) ×x$
$= x^2 + y^2 + z^2 + 2xy - 2yz - 2zx$
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