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Arjun has a 102 by 98 rectangle. He cuts a strip 2 wide off one end and lays it along the top, as shown. The shape is now a 100 by 100 square with a 2 by 2 corner missing (dashed). What is ?

Class 8Algebraic Expressions and IdentitiesAlgebra
  • A10004
  • B9998
  • C9600
  • D9996

Step-by-Step Solution

The rectangle becomes minus a corner, so .
Answer: D) 9996

Key idea: Adding and subtracting expressions

Combine **like terms only** — same variables and same powers.

Example: .

For subtraction, distribute the minus sign first:
.

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