Expand :(3 x+4 y)(3 x+5 y) - Vidyadip

Question

Expand :$(3 x+4 y)(3 x+5 y)$

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Answer

(3x + 4y) (3x + 5y)
= (3x)² + (4y + 5y) 3x + 4y × 5y
…[∵ (x + a) (x + b) = x² + (a + b)x + ab]
= 9x² + 9y × 3x + 20y²
= 9x² + 27xy + 20y²

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