The cancellation property sin−1(sin(x)) = x is valid for x in what interval

It is given that :

As we have to find the Domain of .

-1 ≤ sin x ≤1

So it is defined for x lying between .

As meaning of Domain is those values of x for which any function f(x) is defined.

First we group by like terms to take out as.much as we can(2x^3++20xy)now we will factor out what we can from each group2x^2(x+5)-4xy(x+5)since we found a common factor we can regroup (2x^2-4xy)(x+5)we also can factor out from the first set2x(x-2y)(x+5)the fcc is what can divide all terms. we can now see this is 2x