Edexcel IGCSE Math A 2.2.D Factorising Common Factors

Practise extracting the highest common numerical and algebraic factor from two or more terms.

Exam points

find the HCF of all numerical coefficients before considering variables
choose the smallest power of each variable common to every term
divide each original term by the extracted factor to complete the bracket

[Maximum number: 2]

Factorise fully $16 m^{3} g^{3}+24 m^{2} g^{5}$

$8m^2g^3(2m+3g^2)$

Marking guidance:
- M1 for any correct partial factorisation with at least 2 factors, one of which must be a letter, or the correct common factor with no more than 1 error inside the bracket
- A1 for $8m^2g^3(2m+3g^2)$

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2.2.D Taking out common factors question 1