Question

If a + b = 10 and ab = 24. then find the value of a cube + b cube

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Answer 1

a 3 +b3=280, This is the answer

Answer 2

a+b=10...........(1)

ab=24

now

(a-b)*2=(a+b)*2-4ab

=(10)*2-4(24)

=100-96

=4

(a-b)*2=4

a-b=2...........(2)

now add 1&2

a+b+a-b=10+2

2a=12

a=6

6+b=10

b=4

a*3+b*3=

(6)*3+(4)*3=216+64

a*3+b*3=280