Simplify the expression.
8b ^3 c ^5 + 5b ^5 c ^3 - 3b ^5 c ^3=
8b^3c^5 + 5b^5c^3 - 3b^5c^3 is simplified to:
8b^3c^5 + (5b^5c^3 - 3b^5c^3)
The two terms with b^5c^3 can be combined:
8b^3c^5 + (5b^5c^3 - 3b^5c^3)
8b^3c^5 + 2b^5c^3
So the simplified expression is 8b^3c^5 + 2b^5c^3
To simplify the expression 8b^3c^5 + 5b^5c^3 - 3b^5c^3, we can combine like terms.
The terms 5b^5c^3 and -3b^5c^3 have the same base variables (b and c) raised to the same exponents (5 and 3). We can combine these terms by adding their coefficients.
So, 5b^5c^3 - 3b^5c^3 simplifies to (5 - 3)b^5c^3 = 2b^5c^3.
Now, let's rewrite the expression with the simplified term:
8b^3c^5 + 2b^5c^3
Therefore, the simplified expression is 8b^3c^5 + 2b^5c^3.