Can anyone help me on simplifying algebraic expressions like this one
7(7+5f)+(f+6)10
It has been a while since I learned this so I don't remember this
Is the 10 an exponent? Should it be (f+6)^10?
No ms.sue it is just multiplication is what it means when there is no space in between the parentheses
7(7+5f)+(f+6)10
49 + 35f + 10f + 60
109 + 45f
Of course! I can help you simplify the algebraic expression: 7(7+5f)+(f+6)10.
To simplify this expression, you can start by applying the distributive property. This property states that when a number is multiplied by a sum of terms, you can distribute the multiplication to each term individually.
So, let's start with the first part of the expression: 7(7+5f). To distribute the 7, you multiply it by each term inside the parentheses:
7 * 7 = 49
7 * 5f = 35f
Now, let's move to the second part of the expression: (f+6)10. Similarly, you'll distribute the 10 to both terms inside the parentheses:
10 * f = 10f
10 * 6 = 60
Now that we have simplified both parts of the expression individually, we can combine them:
49 + 35f + 10f + 60
Next, we can combine the like terms by adding the coefficients of the variables:
(35f + 10f) = 45f
Our simplified expression becomes:
49 + 45f + 60
Now, we can add the constants together:
49 + 60 = 109
Finally, our fully simplified expression is:
109 + 45f
So, 7(7+5f)+(f+6)10 simplifies to 109 + 45f.