🧮 Factorisation Challenge 2

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Algebraic Expression

Factorise the Expression

Factorise the expression:

36x2y + 6x4y3
1
Find Common Factor
HCF of coefficients: 36 and 6 = 6
2
Common Variables
Lowest power: x2y
3
Factor Out
Common factor = 6x2y

Select the correct response from the choices given:

A
36(x2y + 6x4y3)
B
6x2y(6 + x2y2)
C
6(6x2y + x4y3)
D
3(12x2y + 2x4y3)
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💡 Factorisation with Variables

Steps for factorising expressions with variables:

  1. Find the HCF of the numerical coefficients (36 and 6 = 6)
  2. Identify common variables with their lowest powers (x2y)
  3. Combine to get the common factor (6x2y)
  4. Divide each term by the common factor

Example: 36x2y + 6x4y3
Common factor = 6x2y
36x2y ÷ 6x2y = 6
6x4y3 ÷ 6x2y = x2y2
Answer: 6x2y(6 + x2y2)