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guajiro [1.7K]
3 years ago
5

How to factor this equation

Mathematics
1 answer:
Anton [14]3 years ago
7 0

Answer:

  2n^2(3n +4)^2

Step-by-step explanation:

Unless you're required to match some particular factored form, you can first factor out any common factors. Here, 2n^2 is a common factor, so you have ...

  = 2n^2·(9n^2 +24n +16)

The first and last terms of the trinomial are perfect squares, suggesting that the trinomial itself is a square. If so, the expression becomes ...

  = 2n^2·(3n +4)^2

We see that the expansion of this form gives exactly the trinomial you started with.

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