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Find (sin^4(x)-cos^4(x))/(sin^2(x)-cos^2(x))

Solution:
Your problem `->` (sin^4(x)-cos^4(x))/(sin^2(x)-cos^2(x))


`(sin^4(x)-cos^4(x))/(sin^2(x)-cos^2(x))`

`=(sin^(4)(x)-cos^(4)(x))/(sin^(2)(x)-cos^(2)(x))`

`=(((sin^(2)(x)-cos^(2)(x))(sin^(2)(x)+cos^(2)(x)))/(sin^(2)(x)-cos^(2)(x)))`

`=(((sin^(2)(x)-cos^(2)(x))(1))/(sin^(2)(x)-cos^(2)(x)))`

`=((sin^(2)(x)-cos^(2)(x))/(sin^(2)(x)-cos^(2)(x)))`

`=1`






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