add the algebraic expressions:
1.
2.
3.
Answers
Given:
1. 5a + 3b, a - 2b, 3a + 5b
2. 3b - 7c + 10, 5c - 2b - 15, 15 + 12c + b
3. 13ab - 9cd - xy, 5xy, 15cd - 7ab, 3x²y - 9xy²
What To Find:
We have to find the sum and add the algebraic expressions.
Solution:
1. 5a + 3b, a - 2b, 3a + 5b
(5a + 3b) + (a - 2b) + (3a + 5b)
Remove the brackets,
⇒ 5a + 3b + a - 2b + 3a + 5b
Rearrange the like terms,
⇒ 5a + a + 3a + 3b - 2b + 5b
Solve the like terms,
⇒ 9a + 6a
2. 3b - 7c + 10, 5c - 2b - 15, 15 + 12c + b
(3b - 7c + 10) + (5c - 2b - 15) + (15 + 12c + b)
Remove the brackets,
⇒ 3b - 7c + 10 + 5c - 2b - 15 + 15 + 12c + b
Rearrange the like terms,
⇒ 3b - 2b + b - 7c + 5c + 12c + 10 - 15 + 15
Solve the like terms,
⇒ 2b + 10c + 10
3. 13ab - 9cd - xy, 5xy, 15cd - 7ab, 3x²y - 9xy²
(13ab - 9cd - xy) + (5xy) + (15cd - 7ab) + (3x²y - 9xy²)
Remove the brackets,
⇒ 13ab - 9cd - xy + 5xy + 15cd - 7ab + 3x²y - 9xy²
Rearrange the like terms,
⇒ 13ab - 7ab - 9cd + 15cd - xy + 5xy + 3x²y - 9xy²
Solve the like terms,
⇒ 6ab + 6cd + 4xy + 3x²y - 9xy²
Step-by-step explanation:
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