Algebra

Polynomial Arithmetic

Applying the Difference of Two Squares Identity

         

Given that x2y2=(xy)(x+y) x^2 - y^2 = (x-y) ( x+y), what is the value of 312192 31 ^2 - 19 ^2 ?

Given that a4b4=(a2b2)(a2+b2)=(ab)(a+b)(a2+b2) a^4 - b^4 = (a^2 - b^2)(a^2 + b^2) = (a-b)(a+b)(a^2 + b^2 ) , what is the value of 5444 5 ^4 - 4 ^4 ?

If x+y=6x+y=6, xy=2x-y=2 and x2+y2=20x^2+y^2=20, what is the value of x4y4?x^4-y^4?

Evaluate the above expression.

Find the positive value of NN such that N2=169. N^2 = 169.

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