Question

Q.2 Factorize: x2 - 6x + 9 - 4y2​

Answer 1

Answer:

x2 + 6x + 9 – 4y2

= (x)2 + 2 × x × 3 + (3)2 – (2y)2

= (x + 3)2 – (2y)2

= (x + 3 + 2y) (x + 3 – 2y)

= (x + 2y + 3) (x – 2y + 3)

Answer 2

x²-6x+9-4y²

= (x)² + 2 × x × 3 + (3)² – (2y)²

= (x + 3)² – (2y)²

= (x + 3 + 2y) (x + 3 – 2y)

= (x + 2y + 3) (x – 2y + 3)

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