Factorise the Following by Grouping the Terms: 15x2 + 7y - 3x - 35xy

Factorise the following by grouping the terms:
15x² + 7y - 3x - 35xy

Sum

15x² + 7y - 3x - 35xy
= 15x² - 3x - 35xy + 7y
= (15x² - 3x) - (35xy - 7y)
= 3x(5x - 1) - 7y(5x - 1)
= (5x - 1)(3x - 7y)

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Factorisation by Grouping

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Chapter 5: Factorisation - Exercise 5.1

Chapter 5 Factorisation
Exercise 5.1 | Q 2.02

Factorise by the grouping method:

ab (x² + 1) + x (a² + b²)

Factorise : xy - ay - ax + a² + bx - ab

Factorise : x² - (b - 2)x - 2b

Factorise : (a² − b²) c + (b² − c²)a

Factorise : a³ - a² - ab + a + b - 1

factorise: x² + 6x + 8

Factorise: 7b² - 8b + 1

Factorise the following by grouping the terms:
15xy - 9x - 25y + 15

Factorise the following by grouping the terms:
4abx² + 49aby² + 14xy(a² + b²)

Factorise the following by grouping the terms:
2a + b + 3c - d + (2a + b)³ + (2a + b)²(3c - d)