If ab = 10 and a2 + b2 = 30, what is the value of
(a + b)^2?
2 answers:
Ab=10
a^2+b^2=30
((a+b)^2=a^2+2ab+b^2=a^2+b^2+2*10=30+20=50
Answer: (a + b)² = 50
Step-by-step explanation:
(a + b)² = (a + b)(a + b)
= a² + ab + ab + b²
So, (a + b)² = a² + b² + 2ab
Then substitute the value of ab and (a² + b²)
(a + b)² = 30 + 2(10)
= 30 + 20
Therefore, (a + b)² = 50
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