Question

Упростить выражения, значит раскрыть скобки, привести подобные, ответ записать в стандартном виде многочлена. 1. 9(7х-6)-18х; 2. 7а-6(19-а); 3. 0,8(6х-2)+1,6(х-4); 4. 2,8(5в-6с)-(7в-8а)·1,2; 5. -(-4,9-5,8z)-(3,1z-5,6); 6. 0,3(5х-7)-3(0,2х+3,2); 7. 4(3-х)-11-7(2х-5); 8. -4(7m-4n)-6(-4m+3n); 9. 0,7(2с-9к)-4(0,25с-к); 10. 2m(3к-2m);​

Answer 1

1. 9(7x-6)-18х=63x-54-18x=45x-54

2. 7а-6(19-a)=7a-114+6a=13a-114

3. 0,8(6x-2)+1,6(x-4)=4,8x-1,6+1,6x-6,4=6,4x-8

4. 2,8(5b-6c)-(7b-8a)·1,2=2,8(5b-6c)-(8,4b-9,6a)=14b-16,8c-8,4b+9,6a=5,6b-16,8c+9,6a

5. -(-4,9-5,8z)-(3,1z-5,6)=4,9+5,8z-3,1z+5,6=10,5+2,7z

6. 0,3(5x-7)-3(0,2x+3,2)=1,5x-2,1-0,6x-9,6=0,9x-11,7

7. 4(3-х)-11-7(2х-5)=12-4x-11-14x+35=36-18x

8. -4(7m-4n)-6(-4m+3n)=-28m+16n+24m-18n=-4m-2n

9. 0,7(2c-9k)-4(0,25c-k)=1,4c-6,3-c+4k=0,4c-2,3k

10. 2m(3k-2m)=2m·3k-2m·2m=6km-4m²

Answer 2

Ответ:

Пошаговое объяснение:

1) = 63х - 54 - 18х = 45х - 54

2) = 7а - 114 + 6а = 13а - 114

3) = 4,8х - 1,6 + 1,6х - 6,4 = 6,4х - 8

4) = 14в - 16,8с - 8,4в + 9,6а =

5,6в - 16,8с + 9,6а

5) = 4,9 + 5,8z - 3,1z + 5,6 = 10,5 + 2,7z

6) = 1,5x - 2,1 - 0,6х - 9,6 = 0,9х - 11,7

7) = 12 - 4х - 11 - 14х + 35 = 36 - 18х

8) = -28m + 16n + 24m - 18n = -4m - 2n

9) = 1,4c - 6,3k - c + 4k = 0,4c - 2,3k

10) = 6mk - 4m²

Answer 3

Simplifying Expressions

1. 9(7x-6)-18x To simplify the given expression, we can start by distributing the 9 to both terms inside the parentheses and then combine like terms. The simplified expression in standard form is: 63x - 54 - 18x. This can be further simplified to: 45x - 54.

2. 7a-6(19-a) We can simplify this expression by distributing the -6 to both terms inside the parentheses and then combining like terms. The simplified expression in standard form is: 7a - 114 + 6a. This can be further simplified to: 13a - 114.

3. 0.8(6x-2)+1.6(x-4) First, we distribute 0.8 and 1.6 to the terms inside the parentheses and then combine like terms. The simplified expression in standard form is: 4.8x - 1.6 + 1.6x - 6.4. This can be further simplified to: 6.4x - 8.

4. 2.8(5v-6s)-(7v-8a)·1.2 We start by distributing 2.8 to the terms inside the first parentheses and then distribute -1.2 to the terms inside the second parentheses. After that, we combine like terms. The simplified expression in standard form is: 14v - 16.8s - 8.4v + 9.6a. This can be further simplified to: 5.6v - 16.8s + 9.6a.

5. -(-4.9-5.8z)-(3.1z-5.6) We can simplify this expression by removing the outer negative sign and then combining like terms. The simplified expression in standard form is: 4.9 + 5.8z - 3.1z + 5.6. This can be further simplified to: 4.9 + 2.7z + 5.6.

6. 0.3(5x-7)-3(0.2x+3.2) First, we distribute 0.3 and -3 to the terms inside the parentheses and then combine like terms. The simplified expression in standard form is: 1.5x - 2.1 - 0.6x - 9.6. This can be further simplified to: 0.9x - 11.7.

7. 4(3-x)-11-7(2x-5) We start by distributing 4 and -7 to the terms inside the parentheses and then combine like terms. The simplified expression in standard form is: 12 - 4x - 11 - 14x + 35. This can be further simplified to: -18x + 36.

8. -4(7m-4n)-6(-4m+3n) We can simplify this expression by distributing -4 and -6 to the terms inside the parentheses and then combine like terms. The simplified expression in standard form is: -28m + 16n + 24m - 18n. This can be further simplified to: -4m - 2n.

9. 0.7(2c-9k)-4(0.25c-k) First, we distribute 0.7 and -4 to the terms inside the parentheses and then combine like terms. The simplified expression in standard form is: 1.4c - 6.3k - c + 4k. This can be further simplified to: 0.4c - 2.3k.

10. 2m(3k-2m) We can simplify this expression by distributing 2m to the terms inside the parentheses. The simplified expression in standard form is: 6mk - 4m^2.

These are the simplified expressions in standard form for the given expressions.