Simplify the expression: 3b^5 c^4 + 5b^4 c^5 - 3b^4 c^5
The expression can be simplified as follows:
3b^5 c^4 + 5b^4 c^5 - 3b^4 c^5
= (3b^5 c^4) + (5b^4 c^5) - (3b^4 c^5)
= 3b^5 c^4 + (5b^4 c^5 - 3b^4 c^5)
To simplify the second term, you need to subtract the coefficients (5 - 3) and keep the same variables (b and c) with their respective exponents (4 and 5):
3b^5 c^4 + (5b^4 c^5 - 3b^4 c^5)
= 3b^5 c^4 + (2b^4 c^5)
= 3b^5 c^4 + 2b^4 c^5
Therefore, the simplified expression is 3b^5 c^4 + 2b^4 c^5.
To simplify the expression 3b^5 c^4 + 5b^4 c^5 - 3b^4 c^5, first, combine like terms:
3b^5 c^4 + 5b^4 c^5 - 3b^4 c^5
The terms 5b^4 c^5 and -3b^4 c^5 have the same variables raised to the same exponents (b^4 c^5). Combine these two terms:
5b^4 c^5 - 3b^4 c^5 = (5 - 3) b^4 c^5 = 2b^4 c^5
Now, the simplified expression becomes:
3b^5 c^4 + 2b^4 c^5