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Evaluate: (i) (2x + 3y)^2 (ii) (2x – 3y)^2

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Evaluate:

(i) (2x + 3y)2

(ii) (2x – 3y)2

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1 Answer

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(i) (2x + 3y)2

= (2x)2 + 2 × (2x) × (3y) + (3y)2

[using (a + b)2 = a2 + 2ab + b2]

= 4x2 + 12xy + 9y2

(ii) (2x – 3y)2

= (2x)2 – 2(2x) (3y) + (3y)2

[∵ using (a – b)2 = a2 – 2ab + b2]

= 4x2 – 12xy + 9y2

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