Question

find the compounded ratio of (a+b):(a-b) and a^2-b^2:(a+b)^2.​

Answer 1

Answer:

=1:1

Step-by-step explanation:

Solution

(a+b)  

2

:(a−b)  

2

 

(a  

2

−b  

2

):(a  

2

+b  

2

)

(a  

4

−b  

4

):(a+b)  

4

 

We can write it as

=  

(a−b)  

2

 

(a+b)  

2

 

​

×  

a  

2

+b  

2

 

a  

2

−b  

2

 

​

×  

(a+b)  

4

 

a  

4

−b  

4

 

​

 

By further calculation

=  

(a−b)  

2

 

(a+b)  

2

 

​

×  

a  

2

+b  

2

 

(a+b)(a−b)

​

×  

(a+b)  

4

 

(a  

2

+b  

2

)(a+b)(a−b)

​

 

So we get

=  

1

1

​

 

=1:1