Factorise : Ab(C2 + D2) - A2cd - B2cd - Mathematics

Factorise : ab(c² + d²) - a²cd - b²cd

Sum

ab(c² + d²) - a²cd - b²cd

= abc² + abd² - a²cd - b²cd

= abc² - a²cd - b²cd + abd²

= ac (bc - ad) - bd (bc - ad)

= (bc - ad) (ac - bd)

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Factorisation by Grouping

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Chapter 13: Factorisation - Exercise 13 (B) [Page 158]

Chapter 13 Factorisation
Exercise 13 (B) | Q 17 | Page 158

Factorise by the grouping method : (ax + by)² + (bx - ay)²

Factorize using the grouping method:

x² + y² + x + y + 2xy

Factorise : 3x⁵ - 6x⁴ - 2x³ + 4x² + x - 2

Factorise : - x²y - x + 3xy + 3

factorise: a² + 5a + 6

factorise: 3a² - 5a + 2

factorise: (2a + b)² + 5(2a + b) + 6

factorise: 12(a + b)² - (a+ b) - 35

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

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