Dean has 2𝑛 green marbles, 6𝑛2 blue marbles and 2𝑚𝑛 red marbles. Write a fully factorised expression representing the total number of marbles owned by Dean.
Question
Dean has 2𝑛 green marbles, 6𝑛² blue marbles and 2𝑚𝑛 red marbles. Write a fully factorised expression representing the total number of marbles owned by Dean.
Solution
The total number of marbles owned by Dean is the sum of the green, blue, and red marbles.
So, we add the expressions for each:
2n (green marbles) + 6n^2 (blue marbles) + 2mn (red marbles)
This simplifies to:
2n + 6n^2 + 2mn
We can factor out a 2n from each term to get:
2n(1 + 3n + m)
So, the fully factorised expression representing the total number of marbles owned by Dean is 2n(1 + 3n + m).
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