🧮 Factorisation Challenge

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Algebraic Expression

Factorise the Expression

Factorise the expression:

8x + 32y
1
Find Common Factor
What number divides both 8 and 32?
2
Identify HCF
HCF of 8 and 32 = 8
3
Factor Out
8x + 32y = 8(? + ?)

Select the correct response for the following question:

A
4(2x + 8y)
B
8(x + 32y)
C
8(x + 4y)
D
32(x + y)
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💡 Factorisation Tips

Factorisation means writing an expression as a product of its factors.

Steps:

  1. Find the Highest Common Factor (HCF) of all terms
  2. Divide each term by the HCF
  3. Write as: HCF × (remaining terms)

Example: 8x + 32y
HCF of 8 and 32 = 8
8x ÷ 8 = x, 32y ÷ 8 = 4y
Answer: 8(x + 4y)