Factories:ab2 + (a – 1)b -1

ab2 + (a – 1)b -1= ab2 + ba – b – 1= (ab2 + ba) – (b + 1)= ab (b + 1) - 1(b + 1)= (b + 1)(ab – 1)So we get,ab2 + (a – 1)b -1 = (b + 1)(ab – 1)

Q25 of 137 Page 99

Factories:
ab² + (a – 1)b -1

ab² + (a – 1)b -1

= ab² + ba – b – 1

= (ab² + ba) – (b + 1)

= ab (b + 1) - 1(b + 1)

= (b + 1)(ab – 1)

So we get,

ab² + (a – 1)b -1 = (b + 1)(ab – 1)

Factories:

y² – xy(1 – x) – x³

Factories:

(ax + by)² + (bx – ay)²

Factories:

x³ – 3x² + x – 3

Factories:

ab(x² + y²) – xy(a² + b²)