Factorise the following by taking out the common factor a3 – 3a2 + a – 3

Factorise the following by taking out the common factor

a³ – 3a² + a – 3

Sum

a² – 3a² + a – 3 = a²(a – 3) + 1(a – 3) ...[∴ Grouping the terms suitably]

= (a – 3)(a² + 1)

shaalaa.com

Is there an error in this question or solution?

Chapter 3: Algebra - Exercise 3.4 [Page 96]

Chapter 3 Algebra
Exercise 3.4 | Q 1. (viii) | Page 96

Factorize each of the following expressions:
ax + ay − bx − by

Factorize each of the following expressions:
xa² + xb² − ya² − yb²

Factorize each of the following expressions:
lm² − mn² − lm + n²

Factorize each of the following expressions:
x³ − y² + x − x²y²

Factorize each of the following expressions:
6xy + 6 − 9y − 4x

Factorize each of the following expressions:
x² − 2ax − 2ab + bx

Factorize each of the following expression:
a²x² + (ax² + 1)x + a

Factorize each of the following expression:
a(a + b − c) − bc

Factorize each of the following expression:
x² + y − xy − x

Factorise the following by taking out the common factor

6xy – 4y² + 12xy – 2yzx