If [tex]$ab = 10$[/tex] and [tex]$a^2 + b^2 = 30$[/tex], what is the value of [tex](a + b)^2[/tex]?

So, the value of ( a + b ) 2 = 50[/tex].
Let's use the given information to find the value of ( a + b ) 2 .
We are given:

[tex] ab = 10

a 2 + b 2 = 30


Now, let's try to express ( a + b ) 2 in terms of a and b :
( a + b ) 2 = a 2 + 2 ab + b 2
We know ab = 10 , so:
( a + b ) 2 = a 2 + 2 ( 10 ) + b 2
Now, substitute the value of a 2 + b 2 from the second given information:
( a + b ) 2 = 30 + 2 ( 10 )
Simplify:
( a + b ) 2 = 30 + 20
( a + b ) 2 = 50

Answered by susmthaIRA | 2024-06-24

To find the value of (a + b)^2 given that ab = 10 and a^2 + b^2 = 30, we substitute the values into the identity (a + b)^2 = a^2 + 2ab + b^2 to get 50. ;

Answered by rawatsudheer305 | 2024-06-25

The value of ( a + b ) 2 is 50 . This is calculated using the identity ( a + b ) 2 = a 2 + 2 ab + b 2 with the given values. We substituted ab = 10 and a 2 + b 2 = 30 to find the answer.
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Answered by rawatsudheer305 | 2024-10-01