Prove the polynomial identity.

Mathematics

1 answer:

aleksandr82 [10.1K]3 years ago

7 0

Explanation:

Since we have given that

$(2x+1)^2-2(2x+1)$

Now, we have to prove it as

$(2x+1)(2x-1)$

Now, start the iterations:

$(2x+1)^2-2(2x+1)\\\\=4x^2+1+4x-4x-2\\\\=4x^2+1-2\\\\=4x^2-1\\\\=(2x)^2-1\\\\=(2x+1)(2x-1)$

So, first blank will be filled with

$4x^2+4x+1$

Second blank will be filled with

$4x^2-1$

Hence proved.

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Citrus2011 [14]

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Explanation:

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elixir [45]

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Step-by-step explanation:

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We will now have to differentiate S(r) with respect to r, so, check below for the differentiation:

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