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Len [333]
3 years ago
5

Simplify using the horizontal method. (2n^2+4n+4)(4n-5)

Mathematics
1 answer:
xz_007 [3.2K]3 years ago
5 0
Your answer would be 8n³ + 6n² - 4n - 20.

The horizontal method for simplifying binomials is to simply multiply the terms in the first bracket by the terms in the second bracket. Written out, this looks like:

(2n² × 4n) + (4n × 4n) + (4 × 4n) + (2n² × -5) + (4n × -5) + (4 × -5).

Then, we just need to do the operations in the brackets, which gives us:

8n³ + 16n² + 16n - 10n² - 20n - 20

And finally we collect the like terms to simplify, which means doing 16n² - 10n² = 6n², and 16n - 20n = -4n, so the final answer is 8n³ + 6n² - 4n - 20.

I hope this helps!
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