Question

A) 8b + 12b - 21b + b; б) 10а - а - b + 7b; в) х + у – х - у + 4; г) -15с - 15а + 8а + 4с. д) 7m + 16m — 24m + m; е) 25n — n — m + 12m; ж) а + b — b — а — 7; з) —21х - 23у + 17х + 26у.

Answer 1

Ответ:

а) 0

б) 9а-8b

в) 4

г) -11c-7a

д) -2m

е) 24n-13m

ж) -7

з) -4x+3y

Answer 2

A) 8b + 12b - 21b + b: To simplify this expression, we can combine the like terms. Like terms are terms that have the same variable with the same exponent. In this case, all the terms have the variable 'b' with an exponent of 1.

So, let's combine the like terms: 8b + 12b - 21b + b = (8 + 12 - 21 + 1)b = 0b = 0

So the simplified expression is 0.

B) 10a - a - b + 7b: Similarly, let's combine the like terms in this expression. The like terms are terms that have the same variable with the same exponent. In this case, we have terms with 'a' and 'b' variables.

10a - a - b + 7b = (10 - 1)a + (7 - 1)b = 9a + 6b

So the simplified expression is 9a + 6b.

C) x + y - x - y + 4: In this expression, we have terms with 'x' and 'y' variables. Let's combine the like terms.

x + y - x - y + 4 = (1 - 1)x + (1 - 1)y + 4 = 0x + 0y + 4 = 4

So the simplified expression is 4.

D) -15c + 15a + 8a + 4c: Let's combine the like terms in this expression. The like terms are terms that have the same variable with the same exponent.

-15c + 15a + 8a + 4c = (-15 + 4)c + (15 + 8)a = -11c + 23a

So the simplified expression is -11c + 23a.

E) 7m + 16m - 24m + m: In this expression, we have terms with the variable 'm'. Let's combine the like terms.

7m + 16m - 24m + m = (7 + 16 - 24 + 1)m = 0m = 0

So the simplified expression is 0.

F) 25n - n - m + 12m: Let's combine the like terms in this expression. The like terms are terms that have the same variable with the same exponent.

25n - n - m + 12m = (25 - 1)n + (-1 + 12)m = 24n + 11m

So the simplified expression is 24n + 11m.

G) a + b - b - a - 7: In this expression, we have terms with the variables 'a' and 'b'. Let's combine the like terms.

a + b - b - a - 7 = (1 - 1)a + (1 - 1)b - 7 = 0a + 0b - 7 = -7

So the simplified expression is -7.

H) -21x + 23y + 17x + 26y: Let's combine the like terms in this expression. The like terms are terms that have the same variable with the same exponent.

-21x + 23y + 17x + 26y = (-21 + 17)x + (23 + 26)y = -4x + 49y

So the simplified expression is -4x + 49y.

I hope this helps! Let me know if you have any further questions.