Question

If a+b=8, ab=6 find a3+b3

Answer 1

Answer:

a=9,b=1

Step-by-step explanation:

a+b=8

a=8-b-eq1

ab=6

a=6/b-eq2

From eq1 and 2

8-b=6/b

-2b=-2

b=1-eq3

From eq1 and 3

a=8-1

a=1

Answer 2

Answer:

a^3+b^3=368

Step-by-step explanation:

If a+b=8

ab=6

therefore

(a^3+b^3)=a^3+b^3+3ab(a+b)

verify

(a+b)^3=a^3+b^3+3×6×8

8^3=a^3+b^3+144

512=a^3+b^3+144

a^3+b^3=512-144

a^3+b^3=368