Factorise the Following by Grouping the Terms: 8(2a + B)2 - 8a -4b

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

Sum

8(2a + b)² - 8a - 4b
= 8(2a + b)² - (8a + 4b)
= 8(2a + b)² - 4(2a + b)
= 4(2a + b)[2(2a + b) - 1]
= 4(2a + b)[4a + 2b - 1].

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Factorisation by Grouping

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Chapter 5: Factorisation - Exercise 5.1

Chapter 5 Factorisation
Exercise 5.1 | Q 2.04

Factorize using the grouping method:

x² + y² + x + y + 2xy

Factorise using the grouping method :
m (x - 3y)² + n (3y - x) + 5x - 15y

Factorise : x² - (b - 2)x - 2b

factorise: x² + 5xy + 4y²

factorise: a² − 3a − 40

factorise: (2a + b)² + 5(2a + b) + 6

factorise: 8 + 6(a + b) - 5(a + b)²

Factorise the following by grouping the terms:
2m³ - 5n² - 5m²n + 2mn

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

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