Question

if the value of (a+b) and ab are 12 and 32 respectively, find the value of a^2+b^2 and (a-b) ^2.​

Answer 1

Answer:

given,

a+b= 12

ab=32

=> (a+b)^2=a^2+b^2+2about

let a^2+b^2=x

=> 144=x+2×32

=>a^2+b^2=80

=>(a-b)^2=x-2ab

=> (a-b)^2= 16

=> a-b=4---(1)equation

=> a+b=12------(2) equation

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=> 2a=16(add both the equations)

=> a=8,b=12-a= 4

Step-by-step explanation:

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