Question

asuna duplicates ratio of:
| (ii) (x - y)4 : (x + y)6​

Answer 1

Step-by-step explanation:

Given:-

(x - y)^4 : (x + y)^6

To find:-

Find the duplicate ratio of (x - y)^4 : (x + y)^6 ?

Solution:-

Given ratio is (x - y)^4 : (x + y)^6

We know that

The duplicate ratio of a:b is a^2:b^2

The duplicate ratio of (x - y)^4 : (x + y)^6

= [(x - y)^4 )]^2 : [(x + y)^6]^2

We know that

(a^m)^n = a^(mn)

=>[(x - y)^4 )]^2 : [(x + y)^6]^2

=>(x-y)^(4×2) : (x+y)^(6×2)

=> (x-y)^8 : (x+y)^12

Answer:-

The duplicate ratio of (x - y)^4 : (x + y)^6 is

(x-y)^8 : (x+y)^12

Used formulae:-

• The duplicate ratio of a:b is a^2:b^2

• (a^m)^n = a^(mn)

• The symbol ^ means power

Additional Information:-

• Ratio is an ordered comparision of same quantities.

• The ratio of a and b is a:b

• a:b can be written as a/b