Factorize :a2 + 14a + 49

Given a2 + 14a + 49 = a2 + 2× 7× a + (7)2Comparing with (a+ b)2 = a2 + b2 + 2a×ba = a and b = 7So, a2 + 14a + 49 = (a + 7)(a + 7)

Q4 of 157 Page 30

Factorize :
a² + 14a + 49

Given a² + 14a + 49 = a² + 2× 7× a + (7)²

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

a = a and b = 7

So, a² + 14a + 49 = (a + 7)(a + 7)

Factorize:

2m³ + 3m – 2m² – 3

Factorize:

a² + 11b + 11ab + a

Factorize :

x² – 12x + 36

Factorize :

4p² – 25q²

Questions · 157

1. Algebra

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