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Shortcut to Solve (a+b)² − (a²+b²)

Algebra Shortcut Trick for Exams

Question

How much more is (37 + 29)2 than 372 + 292?

Key Identity (Shortcut Formula)

(a + b)2 = a2 + b2 + 2ab

Therefore,

(a + b)2 − (a2 + b2) = 2ab

Apply the Formula

Here, a = 37 and b = 29

Answer = 2 × 37 × 29

Correct Option

(A) 2 × 37 × 29

Exam Tip:
Whenever you see a question like:
"How much more is (a+b)² than a² + b²"
👉 The answer is always 2ab.
© pekkadam | Maths Shortcuts for Competitive Exams

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