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Alex
2 years ago
8

Use the result (a+b)²=a²+2ab+b² to find the value of 49²+98+1

Mathematics
1 answer:
Leto [7]2 years ago
5 0

Answer:

2500

Step-by-step explanation:

a² + 2ab + b²

49² + 98 + 1

Comparing terms

a²= 49²

a= 49

2ab = 98

2× 49 × b = 98

98b = 98

b= 98/98

b = 1

or

b²= 1

b=√1

b= 1

a=49 and b= 1

Hence (a+b)²= (49+1)²

50²= 2500

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