Question

Q.6. If (a – b) = 5 and ab = 16 then

find the value a^2+ b^2

please answer step by step​

Answer 1

Answer:

Step-by-step explanation:

(a-b)^2=5*5

a^2+b^2-2ab=25

a^2+b^2=25+32

a^2+b^2=57

Answer 2

Answer:

57

Step-by-step explanation:

${(a - b)}^{2} = {a}^{2} + {b}^{2} - 2ab \\ = > {5}^{2} = {a}^{2} + {b}^{2} - 2 \times 16 \\ = > 25 = {a}^{2} + {b}^{2} - 32\\ = > {a}^{2} + {b}^{2} = 25 + 32 \\ = > {a}^{2} + {b}^{2} =57$

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