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

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)

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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

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x² + xy + xz + yz

Factorize each of the following expressions:
ab − by − ay + y²

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 expression:
(ax + by)² + (bx − ay)²

Factorize each of the following expression:
16(a − b)³ − 24 (a − b)²

Factorize each of the following expression:
a(a − 2b − c) + 2bc

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

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