Find the Sum or Difference $$[ ( 5 x - y ) + 3 z ] [ ( 5 x - y ) - 3 z ]$$

question 106

Multiple Choice

Find the sum or difference.
- $$[ ( 5 x - y ) + 3 z ] [ ( 5 x - y ) - 3 z ]$$

• A) \(25 x ^ { 2 } + y ^ { 2 } - 9 z ^ { 2 }\)
• B) \(25 x ^ { 2 } - 10 x y + y ^ { 2 } + 30 x z + 6 y z - 9 z ^ { 2 }\)
• C) \(25 x ^ { 2 } + y ^ { 2 } + 30 x z + 6 y z - 9 z ^ { 2 }\)
• D) \(25 x ^ { 2 } - 10 x y + y ^ { 2 } - 9 z ^ { 2 }\)

---

Definitions:

Spatial Rearrangements

Changes or modifications in the position or arrangement of objects in space.

Conservation-of-Number Task

A cognitive test used in developmental psychology to assess a child's understanding that a quantity does not change despite changes in its shape or arrangement.

Experimenter's Longer Row

An experimental setup often used in cognitive psychology to study perception and cognitive biases, where participants may perceive a row of objects as longer due to its arrangement or context.

Maze Task

A cognitive experiment or test involving navigating through a labyrinth, used to assess memory, learning, and problem-solving abilities.