Math, asked by hinakhan44, 8 months ago

find the value and plz give me answer​

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Answered by MysteriousAryan
2

\huge{\underline{\underline{\sf{꧁QuEsTiOn꧂}}}}

find the value of a³+b³ when a+b=4 and ab=5

\huge{\underline{\underline{\sf{꧁AnSwEr꧂}}}}

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꧂

\huge{\underline{\underline{\sf{Formula/: used}}}}

(a+b)²=a²+2ab+b²

(a ³ + b ³) = (a+b)(a²-ab+b²)

Answered by vperayyalingam
0

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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