Problema Solution
1. If a + b = 5 and ab = 6 , then find the value of 4(a2 - b2) – a3 + b3 , if a > b .
Answer provided by our tutors
If a + b = 5 and ab = 6 , then find the value of 4(a2 - b2) â a3 + b3 , if a > b .
(a-b)^2=(a+b)^2-4ab.
=5^2-4*6
=1.
a-b=sqrt(1) =1.
a+b=5.
a-b=1. By adding
2a=6
a=3, b=2.
4(a^2-b^2)=4(3^2-2^2).
=20.
a^3+b^3=3^3+2^3.
=27+8.
=35.