We have to factorise a4- b4
Solution
a4 – b4 can be expressed as (a2)2 – (b2)2 —-(i)
We know the identity
\(a^{2}-b^{2}= (a+b)(a-b)\)Hence using the above identityequation (i) becomes
\(\left ( a^{2}+ b^{2}\right )\left ( a^{2} -b^{2}\right )\)= \(\left ( a^{2}+ b^{2}\right )\left ( a + b \right )\left ( a -b \right )\)
Answer
\(\left ( a^{4}-b^{4} \right )=\left ( a^{2}+ b^{2}\right )\left ( a + b \right )\left ( a -b \right )\)
