Question

if a+b= 3 and ab= 2 then the value of a2+ b2 how much
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Answer 1

a²+b² = 5

step-by-step explanation:

given

a+b= 3. And ab= 2

so on squring both sides

(a+b)²= (3)²

a² + b² +2ab = 9. [by using property of (a+b)²]

by putting value of ab

a²+b²+2(2)= 9

a²+b²= 9-4

a²+b²= 5

so from above value of a²+b² = 5

hope it helpes

Answer 2

$identity = {(a + b)}^{2} = {a}^{2} + 2ab + {b}^{2}$

Given=

• a+b=3
• ab= 2

To find

• ${a}^{2} + {b}^{2}$

(a+b)² = a+2ab+b²

(a+b)² -2ab= a²+b²

(3)² - 2(2) = a²+b²

9-4= a+b²

a²+b²= 5