If a+b=13 and ab=25,find the value of
a cube + b cube
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Answer:
from a2+b2
(a+b)2
a2+b2+2ab=(a+b)2
a2+b2+2*25=(13)2
a2+b2+50=169
a2+b2=169-50
a2+b2=119
then,
a3+b3= (a+b)(a2-ab+b2)
a3+b3=13*(a2+b2-ab)
a3+b3=13*(119-25)
a3+b3=13*94
a3+b3=1222
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