Answer:
photomath, assistant in mathematics, will decompose everything and give the correct answer.
Given:
The expression is:

To find:
The resulting polynomial in standard form.
Solution:
We have,

Write subtraction of a polynomial expression as addition of the additive inverse.

Rewrite terms that are subtracted as addition of the opposite.

Group like terms.
![[6m^5+m^5]+[3+(-6)]+[(-m^3)+(-2m^3)]+[(-4m)+4m]](https://tex.z-dn.net/?f=%5B6m%5E5%2Bm%5E5%5D%2B%5B3%2B%28-6%29%5D%2B%5B%28-m%5E3%29%2B%28-2m%5E3%29%5D%2B%5B%28-4m%29%2B4m%5D)
Combine like terms.

On simplification, we get

Write the polynomial in standard form.

Therefore, the required polynomial in standard form is
.
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Answer:</u></h3>
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Step-by-step explanation:</u></h3>
You could solve this problem by either: Factoring or by using the Quadratic Formula.
SOLVING BY FACTORING STEPS
<em>STEP 1:</em><em> Move (2x−1)(x+1) to the left side of the equation by subtracting it from both sides.</em>
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<em>STEP 2:</em><em> Simplify 2x^2+3x−(2x−1)(x+1).</em>
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<em>STEP 3: </em><em>Simplify each term.</em>
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<em>STEP 4: </em><em>Simplify by adding terms.</em>
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<em>STEP 5:</em><em> Subtract 1 from both sides of the equation.</em>
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<em>STEP 6: </em><em>Divide each term by 2 and simplify.</em>
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SOLVE BY USING THE QUADRATIC FORMULA STEPS
<em>STEP 1: </em><em>Move all terms to the left side of the equation and simplify.</em>
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<em>STEP 2: </em><em>Subtract 1 from both sides of the equation.</em>
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<em>STEP 3: </em><em>Divide each term by 2 and simplify.</em>
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