Question

What is (2rs + r) - (s - 2sr)?

Answer 1

Answer:

r-s

Step-by-step explanation:

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Answer 2

The Answer is 4rs + r - s

Given: (2rs + r) - (s - 2sr)

To Find: The simple expression of (2rs + r) - (s - 2sr)

Solution:

Evaluate (2rs + r) - (s - 2sr)

Add the terms

= 2rs + r - (s - 2sr)

= 2rs + r - (s - 2rs) ∵commutative property is used to reorder the terms

= 2rs + r - s + 2rs  ∵ if a negative sign or subtraction appears outside parentheses, remove the parentheses and change the sign of every term within the parentheses.

Evaluate

= 4rs + r - s    ∵ (2 + 2) × rs =4rs

∴ (2rs + r) - (s - 2sr) = 4rs + r - s

Hence, the simple expression is 4rs + r - s

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