Can you please advise if I have the correct answer to this problem:
-3a8^b2^c3^ (5abc9^ - 11a2^b4^c6^)
-3a8^b2^c3^ (-6ab3^c3^)
18a9^b5^c6^
Thank you
To assess whether your answer is correct, we can simplify the expressions and compare the results.
Starting with the first expression:
-3a8^b2^c3^ (5abc9^ - 11a2^b4^c6^)
We can begin by distributing the -3a8^b2^c3^ to both terms inside the parentheses:
-3a8^b2^c3^ * 5abc9^ - 3a8^b2^c3^ * -11a2^b4^c6^
This simplifies to:
-15a^2b^2c^4 * 9abc - (-33a^3b^5c^9)
Let's further simplify each term individually:
-15 * 9 = -135
a^2 * a = a^3
b^2 * b = b^3
c^4 * c = c^5
So we have:
-135a^3b^3c^5 * 9abc + 33a^3b^5c^9
Next, let's multiply the coefficients:
-135 * 9 = -1215
Finally, we add the exponents of like terms:
a^3 * a = a^4
b^3 * b = b^4
c^5 * c = c^6
The simplified expression becomes:
-1215a^4b^4c^6 + 33a^3b^5c^9
Now, let's compare this simplified expression with your result: 18a9^b5^c6^
Since the exponents of the variables do not match, it appears that your answer is not correct. The correct simplified expression is -1215a^4b^4c^6 + 33a^3b^5c^9.
Hope this explanation helps!