Factorize :1 – 6x + 9x2

Given 1 – 6x + 9x2= (1)2 – 2× 1 ×3x + (3x)2Comparing with (a– b)2 = a2 + b2 – 2a×ba = 1 and b = 3xSo, 1 – 6x + 9x2 = (1 – 3x)(1 – 3x)

Q4 of 157 Page 30

Factorize :
1 – 6x + 9x²

Given 1 – 6x + 9x²= (1)² – 2× 1 ×3x + (3x)²

Comparing with (a– b)² = a² + b² – 2a×b

a = 1 and b = 3x

So, 1 – 6x + 9x² = (1 – 3x)(1 – 3x)

Factorize :

3x³ – 75x

Factorize :

36 – 49x²

Factorize :

x² + 7x + 12

Factorize :

p² – 6p + 8

Questions · 157

1. Algebra

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