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)

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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:
1 + x + xy + x²y

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

Factorize each of the following expressions:
x² + xy + xz + yz

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 expressions:
x³ − 2x²y + 3xy² − 6y³

Factorize each of the following expression:
abx² + (ay − b) x − y

Factorize each of the following expression:
ab(x² + 1) + x(a² + b²)

Factorize each of the following expression:
ab − a − b + 1