Question

Directions: Perform the indicated operation then answer the questions that follow.
1. 7 + 5 =
2. -9 + 14 =
3. -6 + (-17) =
4. (-3/8 ) + (1/2) =
5. (-5/6 ) + (-2/3 ) =
6. (8)(15) =​

Answer 1

Answer:

1. 12

2. 5

3. 23

4. 1/8

5. -3/2

6.120

Answer 2

Answer:

Required answers are 1) 12, 2) 5,3) -23,4)(1/8),5) -(3/2) 6)120.

Step-by-step explanation:

1) $7 + 5 = 12$

2) $- 9 + 14 = 5$

3)

$- 6 + ( - 17) = - 6 - 17 \\ = - 23$

4)

$- \frac{3}{8} + \frac{1}{2} \\ = \frac{ - 3 + 4}{8} \\ = \frac{1}{8}$

5)

$- \frac{5}{6} + ( - \frac{2}{3} ) \\ = - \frac{5}{6} - \frac{2}{3} \\ = \frac{ - 5 - 4}{6} \\ = - \frac{9}{6} \\ = - \frac{3}{2}$

6)

$(8)(15) = 8 \times 15 \\ = 120$

This is a concept of Algebra.

Some important Algebra formulas.

(a + b)² = a² + 2ab + b²

(a − b)² = a² − 2ab − b²

(a + b)³ = a³ + 3a²b + 3ab² + b³

(a - b)³ = a³ - 3a²b + 3ab² - b³

a³ + b³ = (a + b)³ − 3ab(a + b)

a³ - b³ = (a -b)³ + 3ab(a - b)

a² − b² = (a + b)(a − b)

a² + b² = (a + b)² − 2ab

a² + b² = (a − b)² + 2ab

a³ − b³ = (a − b)(a² + ab + b²)

a³ + b³ = (a + b)(a² − ab + b²)

Know more about Algebra,

1) https://brainly.in/question/13024124

2) https://brainly.in/question/1169549

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