Question

If a+b=3 and ab=2, find
${a}^{2} - {b}^{2}$
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Answer 1

Step-by-step explanation:

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Answer 2

a + b = 3

a= 3-b

ab = 3

(3-b) b = 2

-b² +3b - 2 = 0

b² - 3b + 2 = 0

b² - b - 2b + 2 = 0

b(b-1) - 2(b-1) = 0

b = 1 or 2

if b= 1 , a = 2

if b = 2 , a = 1

a² - b² = 3 or -3