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Andrews [41]
2 years ago
8

If ab = 10 and a2 + b2 = 30, what is the value of (a + b)^2?

Mathematics
2 answers:
Bogdan [553]2 years ago
6 0
Ab=10
a^2+b^2=30
((a+b)^2=a^2+2ab+b^2=a^2+b^2+2*10=30+20=50

Novay_Z [31]2 years ago
3 0

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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