Factorise the following by grouping the terms:9 + 3xy + x2y + 3x

Factorise the following by grouping the terms:
9 + 3xy + x²y + 3x

Sum

9 + 3xy + x²y + 3x
= 9 + 3xy + 3x + x²y
= (9 + 3xy) + (3x + x²y)
= 3(3 + xy) + x(3 + xy)
= (3 + xy)(3 + x).

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Factorisation by Grouping

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Chapter 4: Factorisation - Exercise 5.1

Chapter 4 Factorisation
Exercise 5.1 | Q 2.03

Factorise using the grouping method :
x (6x - 5y) - 4 (6x - 5y)²

Factorise : 3a²b - 12a² - 9b + 36

Factorise: 7b² - 8b + 1

factorise: 4c² + 3c - 10

factorise: 5 + 7x - 6x²

factorise: x(3x + 14) + 8

factorise: ax² + b²y - ab² - x²y

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

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:

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