Verified answer

Answer:

To simplify the expression:

abcx³ - 10bcdx³ + 6 - (-12x + 9x² - 3)

We can first distribute the negative sign in front of the parentheses:

abcx³ - 10bcdx³ + 6 + 12x - 9x² + 3

Then, we can combine like terms:

-9x² - 10bcdx³ + abcx³ + 12x + 9

Therefore, the simplified expression is:

-9x² - 10bcdx³ + abcx³ + 12x + 9

First, we can simplify the expression inside the parentheses by distributing the negative sign:

-(—12x+9x²—3) = 12x - 9x² + 3

Now, we can substitute this simplified expression back into the original expression:

abcx³—10bcdx³ +6—(—12x+9x²—3)

= abcx³—10bcdx³ +6 - (12x - 9x² + 3)

= abcx³—10bcdx³ +6 - 12x + 9x² - 3

= -10bcdx³ + 9x² - 12x + 3 + abcx³

Therefore, the simplified expression is: -10bcdx³ + 9x² - 12x + 3 + abcx³.