Simplify.(2x - 10) - (3x^2 + 10x) + (2x^3+ 3x^2)
A) 2x^3 - 8x - 10
C) 2x^3 + 6x^2 + 12x - 10
B) 2x^3- 6x^2 + 12x -10
D) 2x^2- 8x - 10

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I'll teach you how to solve (2x - 10) - (3x^2 + 10x) + (2x^3+ 3x^2)

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(2x - 10) - (3x^2 + 10x) + (2x^3+ 3x^2)

Remove parentheses:

2x - 10 - 3x^2 + 10x + 2x^3+ 3x^2

Simplify:

2x - 10 - 3x^2 + 10x + 2x^3+ 3x^2

Group like terms:

2x^3 -3x^2 + 3x^2 + 2x -10x-10

Add similar elements -3x^2 + 3x^2:

2x^3+2x-10x-10

Add similar elements 2x-10x=-8x:

2x^3-8x-10

Your Answer Is (A) 2x^3-8x-10

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Answer:

A

Step-by-step explanation:

Let's first expand these parentheses. Remember that when we have a negative sign in front of a parentheses, that means we're multiplying each term within the parentheses by -1:

2x - 10 -3x^2 - 10x + 2x^3 + 3x^2

Now combine like terms. Like terms are the ones that have the same degree of x: 2x and -10x are like terms; -10 is by itself; -3x^2 and 3x^2 are like terms; 2x^3 is by itself. So:

2x^3 + (-3x^2 + 3x^2) + (2x - 10x) - 10

2x^3 - 8x - 10

Thus, the answer is A.

Hope this helps!

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