ta có : 10a + 10b : hết cho 5

=> 7a + 3a + 8b + 2b : hết cho 5

=> ( 7a + 8b)  + ( 3a + 2b) : hết cho 5

mà 7a + 8b : hết cho 5

=> 3a + 2b : hết cho 5

(7a + 3a)+ (8b+2b)

=> 10a + 10b =>10: 5=2

=>3a + 2b : hết cho 5

a)  \(A=7a+7b=7\left(a+b\right)=7.11=77\)   
b)  \(B=13a+19b+4a-2b=17a+17b=17\left(a+b\right)=17.100=1700\)
c)  \(C=5a-4b+7a-8b=12a-12b=12\left(a-b\right)=12.8=96\)

a, \(A=5x^3+6x^3+x^3-x^2+2x^3-4x^2=14x^3-5x^2\)

b, \(B=2a^2-b^2+3a^2-\left(5a^2-11ab+8b^2+2b^2+7a^2-5ab\right)\)

\(=5a^2-b^2-12a^2+16ab-10b^2=-7a^2-11b^2+16ab\)

1. = 2(a+b)

2. =2(a-b)

3.=2(a+2b-3c)

4.=3(a-2b-3c)

5.=-4(a+2b+3c)

6.=-5(x+2xy+3y)

7.=-7(a+2ab+3b)

8.=6(xy-2x-3y)

9.=8(xy-3y+2x)

10.=9(ab-2a+1)

Lần sau bn cần ghi đề rõ ràng hơn

11.=x(y-1)

12.=a(x+1)

13.=m(x+y+1)

14.=-a(x+y+1)

15.=-a(x²+x+1)

16.=-2a(x+2y)

17.=2a(x-y+1)

18.=2(2ax-ay-2)

19.=5a(1-2x-3)

20.=-2ab(a+2b+3)

Áp dụng tính chất của dãy tỉ số bằng nhau, ta được:

\(\dfrac{a}{15}=\dfrac{b}{16}=\dfrac{c}{14}=\dfrac{a+b+c}{15+16+14}=\dfrac{45}{45}=1\)

Do đó: a=15; b=16; c=14

a - 2b + c = 34

=>8b/5 - 2b + 8b/3 = 34

=>24b/15 - 30b/15 + 40b/15 = 510/15

=>64b/15 - 30b/15 = 510/15

=>b = 510/15:34/15

=>b =15

=>a = 15 . 8/5 = 24

c = 15 . 8/3 = 40 

5a=8b=3c => a/(1/5) =b/(1/8) =c/(1/3) 
=> a/(1/5) =2b/(1/4) =c/(1/3) = (a-2b+c)/ (1/5 -1/4 +1/3)=34/(17/60)=120 
a/(1/5) =120 =>a=120x1/5=24 
2b/(1/4) =120 hay 8.b=120 =>b=120:8=15 
c/(1/3) =120 =>c=120x1/3=40

Ta có: \(\frac{5a}{120}=\frac{8b}{120}=\frac{3c}{120}=\frac{a}{24}=\frac{b}{15}=\frac{c}{40}=\frac{a}{24}=\frac{2b}{30}=\frac{c}{40}=\frac{34}{34}=1\)

\(\Rightarrow a=24;b=15;c=40\)