Q30 of 274 Page 62

Factorize:
a(a – 2b – c) + 2bc

We have,

At first we’ll take common from the expression

= a² – 2ab – ac + 2bc

= a (a – 2b) – c (a – 2b)

= (a – 2b) (a – c)

Hence,

The given expression can be factorized as:

Factorize:

(ax + by)² + (bx - ay)²

Factorize:

a(a + b – c) – bc

Factorize:

a²x² + (ax² + 1)x + a

Factorize:

ab(x² + 1) + x(a² + b²)

Factorize:a(a – 2b – c) + 2bc