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Question

Use the formula to find the factors.

(7) 4x2 – 81y2

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Solution

4x2 – 81y2
= (2x)2 – (9y)2
= (2x + 9y) (2x – 9y) [a2 – b2 = (a + b) (a – b)]
∴ 4x2 – 81y2 = (2x + 9y) (2x – 9y)

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