-%C3%B7-5b.jpeg "(5ab - 10b2 + 15bc) ÷ 5b")
Simplifying the Expression (5ab - 10b² + 15bc) ÷ 5b
This expression involves dividing a trinomial by a monomial. Let's break down the steps to simplify it:
1. Understanding the Process
When dividing a polynomial by a monomial, we divide each term of the polynomial by the monomial.
2. Applying the Rule
(5ab - 10b² + 15bc) ÷ 5b = (5ab ÷ 5b) - (10b² ÷ 5b) + (15bc ÷ 5b)
3. Simplifying Each Term
- (5ab ÷ 5b) = a (5 and 5 cancel out, b and b cancel out leaving only a)
- (10b² ÷ 5b) = 2b (10 divided by 5 is 2, b² divided by b is b)
- (15bc ÷ 5b) = 3c (15 divided by 5 is 3, b and b cancel out leaving only c)
4. Combining the Simplified Terms
Therefore, the simplified expression is: a - 2b + 3c
Final Answer: (5ab - 10b² + 15bc) ÷ 5b = a - 2b + 3c