Factorise: 5 + 3a - 14a2

factorise: 5 + 3a - 14a²

Sum

5 + 3a - 14a²

5 + 10a - 7a - 14a²

= 5(1 + 2a) - 7a (1 + 2a)

= (1 + 2a) (5 - 7a)

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Factorisation by Grouping

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Chapter 13: Factorisation - Exercise 13 (D) [Page 161]

Chapter 13 Factorisation
Exercise 13 (D) | Q 20 | Page 161

Factorise by the grouping method:

ab (x² + 1) + x (a² + b²)

Factorise : 3a²b - 12a² - 9b + 36

Factorise : ab² - (a - c) b - c

factorise: x² + 6x + 8

factorise: a² − 3a − 40

factorise: (3x - 2y)² - 5(3x - 2y) - 24

Factorise the following by grouping the terms:
8(2a + b)² - 8a -4b

Factorise the following by grouping the terms:
8x³ - 24x²y + 54xy² -162y³

Factorise the following by grouping the terms:
x² - (p + q)x + pq

Factorise the following by grouping the terms:
x + y + m(x + y)