Factorise the Following by Grouping the Terms: 9x3 + 6x2y2 - 4y3 - 6xy - Mathematics

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

Sum

9x³ + 6x²y² - 4y³ - 6xy|
= 9x³ + 6x²y² - 6xy - 4y³= (9x³ + 6x²y²) - (6xy + 4y³)
= 3x²(3x + 2y²) - 2y(3x + 2y²)
= (3x + 2y²)(3x² - 2y).

shaalaa.com

Factorisation by Grouping

Is there an error in this question or solution?

Chapter 5: Factorisation - Exercise 5.1

Chapter 5 Factorisation
Exercise 5.1 | Q 2.08

Factorise by the grouping method:

ab (x² + 1) + x (a² + b²)

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

Factorise : a³ - a² - ab + a + b - 1

Factorise : 2ab² - aby + 2cby - cy²

Factorise : ax + 2bx + 3cx - 3a - 6b - 9c

factorise: 5 + 7x - 6x²

factorise: a² - 23a + 42

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:
p²x² + (px² + 1)x + p

Factorise the following by grouping the terms:

`"p"^2 + (1)/"p"^2 - 2 - 5"p" + (5)/"p"`