" 17."3a^(7)b-81a^(4)b^(4)

3a^7-b-81a^4b^4

Factorize the following expressions 3a^7b-81a^4 b^4

16x^(7)-81x^(3)-16x^(4)+81

Factorize: (a^(4)-8a^(2)b^(2)+16b^(4))-256a^(4)-6a^(2)b^(2)+9b^(4)-81

If 3a+(1)/(3a) = 2sqrt3 , evaluate: 81 a^(4) + (1)/(81a^(4))

The rationalising factor of root(7)(a^(4)b^(3)c^(5)) is (a) root(7)(a^(3)b^(4)c^(2)) (b) root(7)(a^(3)b^(4)c^(2)) (c) root(7)(a^(2)b^(3)c^(3)) (d) root(7)(a^(2)b^(4)c^(3))

If tan theta=sqrt((a)/(b)) where a,b, are positive reals then the value of s int h eta sec^(7)theta+cos theta cos ec^(2)theta is-a.((a+b)^(3)(a^(4)+b^(4)))/((ab)^(7/2)) b.((a+b)^(3)(a^(4)-b^(4)))/((ab)^(7/2)) c.((a+b)^(3)(b^(4)-a^(4)))/((ab)^(7/2))d.((a+b)^(3)(a^(4)+b^(4)))/((ab)^(7/2))

The value of int_(a)^(b)(x-a)^(3)(b-x)^(4)dx is (A)((b-a)^(4))/(6^(4))(B)((b-a)^(8))/(280) (C) ((b-a)^(7))/(7^(3)) (D) none of these

Using differentials, find the approximate value of each of the following: (a) ((17)/(81))^((1)/(4)) (b) (33)^(-(1)/(5))