Factorise: X2 + 5xy + 4y2

factorise: x² + 5xy + 4y²

Sum

x² + 5xy + 4y²

= x² + 4xy + xy + 4y²

= x(x + 4y) + y (x + 4y)

= (x + 4y)(x + y)

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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 6 | Page 161

Factorise by the grouping method : a (a -4) - a + 4

Factorise : 6a² - 3a²b - bc² + 2c²

Factorise : ab² - (a - c) b - c

factorise: x² - x - 72

factorise: a² - 23a -108

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

Factorise the following by grouping the terms:
9x³ + 6x²y² - 4y³ - 6xy

Factorise the following by grouping the terms:
xy(a² + 1) + a(x² + y²)

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

Factorise the following by grouping the terms:

`(1)/(25x^2) + 16x^2 + (8)/(5) - 12x - (3)/(5x)`