find the value and plz give me answer
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find the value of a³+b³ when a+b=4 and ab=5
Given,
a+b=4 and ab=5
Squaring both sides,we get,
(a+b)²=(4)²
a²+b²+2ab=16
a²+b²+2×5=16
a²+b²=6
Now (a³+b³)=(a+b)(a²+b²-ab)
(a³+b³)=(4)(6-5)
꧁ a³+b³=4꧂
(a+b)²=a²+2ab+b²
(a ³ + b ³) = (a+b)(a²-ab+b²)
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Answer:
4
Step-by-step explanation:
Given a+b= 4 ,and a-b =5
apply cube on both sides
(a+b)*3=4*3
a*3+3a*b+3ab*2+b*3=64
a*3+b*3+3ab(a+b)=64
a*3+b*3+3(5)(4)=64
a*3+b*3+60=64
a*3+b*3=64-60
a*3+b*3=4
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