Question

Find the value of (a⁴-b⁴), given that (a²+b²) = 130, (a-b) = 2 and (a+b) 16.​

Answer 1

Answer itself is given by you☺️☺️..

a4 - b4 =( a2)^2 -( b2)^2.— Equation 1.

This is similar to a2-b2 which results in (a-b)(a+b) but the only thing is here a and b became a2 and b2.

Break equation 1 as per the formula and you will get:-

(a2-b2)(a2+b2)

Now second bracket can't be touched at the moment but first bracket clearly shows that it can be broken similarly on the formula hence…

(a+b)(a-b)(a2+b2)…