ALGEBRAIC EXPRESSIONS
1. Simplify the following
(4m + 5n)² + (5m + 4n)² + (4m + 5n) - (4m-5n)
Answers
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Given:
The expression:-
(4m + 5n)² + (5m + 4n)² + (4m + 5n) - (4m - 5n)
What To Find:
We have to simplify the expression.
Solution:
(4m + 5n)² + (5m + 4n)² + (4m + 5n) - (4m - 5n)
Remove the brackets,
⇒ 4m² + 5n² + 5m² + 5n² + 4m + 5n - 4m + 5n
Find the squares,
⇒ 16m + 25n + 25m + 25n + 4m + 5n - 4m + 5n
Rearrange the like terms,
⇒ 16m + 25m + 4m - 4m + 25n + 25n + 5n + 5n
Solve the first like terms,
⇒ 41m + 25n + 25n + 5n + 5n
Solve the second like terms,
⇒ 41m + 60n
∴ Thus, the simplify expressions is 41m + 60n.
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