Question

add the algebraic expressions:
1.
$5a + 3b.a - 2b.3a + 5b$
2.
$3b - 7c + 10.5c - 2b - 15.15 + 12c + b$
3.
$13ab - 9cd - xy.5xy.15cd - 7ab.3 {x}^{2} y - 9x {y}^{2}$
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Answer 1

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

Answer 2

Step-by-step explanation:

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