Simplify the expression: 3b^5 c^4 + 5b^4 c^5 - 3b^4 c^5

Answer 1

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.