Find the value of a³+8b³, if a+2b=10 and ab=15

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Question: To find the value of a3+8b3

Given: a+2b=10 and ab=15

By using identity (a+b)2=a2+b2+2ab

a2+4b2+4ab=100

a2+4b2=100-4ab

Answer: (a)3+(2b)3

by using identity a3+b3= (a+b)(a2+b2-ab)

(a+2b)(a2+4b2-2ab)

(10)(100-4ab-2(15))

(10)(100-4(15)-30)

(10)(100-60-30)

(10)(10)

100 - Ans

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