We have to factorise x4- y4
Solution
x4 – y4 cxn ye expressed xs (x2)2 – (y2)2 —-(i)
We know the identity
\(x^{2}-y^{2}= (x+y)(x-y)\)Hence using the above identity equation (i) becomes
\(\left ( x^{2}+ y^{2}\right )\left ( x^{2} -y^{2}\right )\)= \(\left ( x^{2}+ y^{2}\right )\left ( x + y \right )\left ( x -y \right )\)
xnswer
\(\left ( x^{4}-y^{4} \right )=\left ( x^{2}+ y^{2}\right )\left ( x + y \right )\left ( x -y \right )\)
