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If (2x^2-y^2)^4=256 and (x^2+y^2)^5=243,...

If `(2x^2-y^2)^4=256 and (x^2+y^2)^5=243`, then find `x^4-y^4`
The following steps are involved in solving the above problem. Arragne then in sequential order.
(A) `(x^2-y^2)^4=256=4^4 and (x^2+y^2)^5=3^5`
(B) `x^4-y^4=12`
(C) `(x^2-y^2)(x^2+y^2)=4xx3`
(D) `x^2-y^2=4 and x^2+y^2=3`

A

ADCB

B

ABCD

C

ADBC

D

ACDB

Text Solution

Verified by Experts

The correct Answer is:
A
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