Expand : (2 p-3 q)^2 - Vidyadip

Question

Expand : $(2 p-3 q)^2$

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Answer

(2p – 3q)²
Here, a = 2p and b = 3q
(2p – 3q)² = (2p)² – 2 × (2p) × (3q) + (3q)²
…. [(a – b)² = a² – 2ab + b²]
∴ (2p – 3q)² = 4p² – 12pq + 9q²

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