Given positive even numbers x,y , if x^2y+xy^2=96 , find the value of x^2+y^2 calculate algebraic expressions
If x=2 , y=-\dfrac{1}{2} , find the value of 4x^2y-[6xy-3(4xy-2)-x^2y]+1 calculate algebraic expressions
Given positive real number m, if m-\cfrac{1}{m}=3 , find the value of m^2-\cfrac{1}{m^2} calculate algebraic expressions
(1-\dfrac{1}{2^2} )(1-\dfrac{1}{3^2})(1-\dfrac{1}{4^2}) \dots(1-\dfrac{1}{100^2}) calculate algebraic expressions
If a^{-\frac{1}{2} }= x , where a > 0 and x > 0 , which of the following equations gives a in terms of x ? calculate algebraic expressions
If x+y=1 and x^2+y^2=2 , find the value of the algebraic expression x^4+y^4 calculate algebraic expressions
If n and p are positive and 100n^3p^{-1} = 25n , what is n^{-2} in terms of p ? calculate algebraic expressions