(a+b)^(4)-(a-b)^(4)

Factorise the using the identity a ^(2) -b ^(2) = (a +b) (a-b). a ^(4) - (a -b) ^(4)

a ne 0, b ne 0 . The number of real number pair (a, b) which satisfy the equation a^(4) + b^(4) = (a+b)^(4) is:

Factorize each of the following expressions: (2x+1)^(2)-9x^(4)(2)x^(4)-(2y-3z)^(2)a^(2)-b^(2)+a-b(4)16a^(4)-b^(4)a^(4)-16(b-c)^(4)

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))

Simplify : (a+b)(a^(2)+b^(2))(a^(4)+b^(4))(a-b)

Find the product : (a^(2)+b^(2))(a^(4)+b^(4))(a+b)(a-b) .

If b is the mean proportion between a and c, show that : (a^(4)+a^(2)b^(2)+b^(4))/(b^(4)+b^(2)c^(2)+c^(4))=a^(2)/c^(2)

If tantheta=sqrt(a/b) where a , b are positive reals then the value of sinthetasec^7theta+costheta cosec^7theta is- a. ((a+b)^3(a^4+b^4))/((a b)^(7//2)) b. ((a+b)^3(a^4-b^4))/((a b)^(7//2)) c. ((a+b)^3(b^4-a^4))/((a b)^(7//2)) d. ((a+b)^3(a^4+b^4))/((a b)^(7//2))

If a^(2)+ b^(2) + c^(2)=0 , then what is ((a^(4)-b^(4))^(3)+(b^(4)-c^(4))^(3)+(c^(4)-a^(4))^(3))/((a^(2)-b^(2))^(3)+(b^(2)-c^(2))^(3)+(c^(2)-a^(2))^(3)) equal to?