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How to factor this equation

How to factor this equation-example-1

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Answer:

2n^2(3n +4)^2

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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