To simplify the expression of
4r(3r-7) I came up with 12r^-28r.
I cannot take this any further because they are not like terms, is that correct?
4r(3r-7)= 4r*3r-4*7
=12r^2-28
12r^2-28r. You can't take this any further.
No, your simplification is not correct. To simplify the expression 4r(3r-7), you need to apply the distributive property, which states that you need to multiply each term inside the parentheses by 4r. Let's break it down step by step:
1. Multiply 4r by the first term inside the parentheses: 4r * 3r = 12r^2.
2. Multiply 4r by the second term inside the parentheses: 4r * (-7) = -28r.
Now, you have two separate terms: 12r^2 and -28r. These terms cannot be combined because they have different exponents. So, the simplified expression is:
12r^2 - 28r
Note: It is important to remember that when multiplying terms, you should add the exponents. In this case, the exponent of r is 1 because it is not explicitly written, and when you multiply r by itself, you add the exponents, giving you r^(1+1) = r^2.