Factorise the following either by completingthe brackets or by finding the highest common factors of the given terms. 2m + 8n = 2( )
Mathematics · High School · Thu Feb 04 2021
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Given the equation:
2m + 8n
Factor the equation.
Solution:
In order to factor the equation, we simply need to determine what is the greatest common factor of 2 and 8, hence we know that 2 is a factor of 8, therefore we can imply that 2 is the greatest common factor.
= 2m + 8n
= 2 ( m + 4n)
Check:
Distribute 2 to each value inside the parenthesis in order to check if the factor is true.
= 2 ( m + 4n)
= 2m + 8n
Final answer:
= 2 ( m + 4n)