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Simplify. (3x3 - 7x2 + 12) - (3x3 + 6x2 + 10x)

A) -x2 + 10x + 12
B) -13x2 - 10x + 12
C) -6x3 + x2 - 10x - 12
D) -9x6 - 42x4 - 10x + 12

User Havier
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1 Answer

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The answer is B.

Do you need the explanation?


(3x^3 - 7x^2 + 12) - (3x^3 + 6x^2 + 10x)
First, remove parentheses


3x^3 - 7x^2 + 12 - 3x^3 -6x^2 -10x
eliminate the opposites

then collect the like terms
13x^2 +12 - 10x

and finally, use the commutative property to reorder the terms, and you'll get
-13x^2-10x+12
User Ramanan
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