Question

(A+B)2=3(B-A) then the ratio of A:B

Answer 1

Answer:

$(x + y)2 = 3(y - x) \\ 2x + 2y = 3y - 3x \\ 2x + 3x = 3y - 2y \\ 5x = y \\ \frac{x}{y} = \frac{1}{5}$

this is the answer but,A=x,B=y

Answer 2

Answer:

5:1

A=5;B=1

Step-by-step explanation:

let's solve the equation first:

2(A+B)=3(B-A)

We can see two equations here,i.e.,2(A+B) and 3(B-A)

So let's first open the brackets of the both equations using the distributive property of multiplication which says:A(B+C)=

AB+AC

2(A+B) =3(B-A)

=2A+2B =3B-3A

On opening the brackets through the distributive property,we get:

2A+2B and 3B-3A

So,the simplified equation will be:

2A+2B = 3B-3A

or

(A+A)+(B+B)=(B+B+B)-(A+A+A)

on shifting the variables by keeping like terms together,we get:

2A+3A=3B-2B

=5A=1B

Ratio=5:1