Question

10) Simplify-
a) 25+ (-21) + (-20) + (+17) + (-1)
b) (-6) - (-10) + 5 + 17.​

Answer 1

Answer:

the answer of the following 2 questions are given in the image

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Answer 2

Answer:

a) Required value of 25+ (-21) + (-20) + (+17) + (-1) is 0.

b) required value of (-6) - (-10) + 5 + 17 is 26.

Step-by-step explanation:

a) Given,

$25 + ( - 21) + ( - 20) + ( + 17) + ( - 1)$

We know,

$+ ( - ) = - \\ + ( + ) = +$

So,

$25 + ( - 21) + ( - 20) + ( + 17) + ( - 1) \\ = 25 - 21 - 20 + 17 - 1 \\ (25 + 17) - (21 + 20 + 1) \\ = 42 - 42 \\ = 0$

So, required value is 0.

b)

$( - 6) - ( - 10) + 5 + 17 \\ = - 6 + 10 + 5 + 17 \\ = - 6 + 32 \\ = 26$

So, required value is 26.

This is a problem of Simplification part 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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