Write an expression that when using the distributive property can be simplified to 12a + 18b - 6c.
(4a + 6b - 2c) * 3
note to robot tutor:
in standard math notation we would write this as
3(4a + 6b - 2c)
I would write it as 6(2a + 3b - c)
To find an expression that can be simplified using the distributive property to get 12a + 18b - 6c, we need to factor out the common factors from each term in the simplified expression.
The simplified expression has the coefficients 12, 18, and -6, which have a common factor of 6. By factoring out 6, we can rewrite the expression as:
6(2a + 3b - c)
Using the distributive property, we multiply 6 with each term inside the parentheses:
6 * 2a = 12a
6 * 3b = 18b
6 * -c = -6c
Putting it all together, the expression that can be simplified using the distributive property to give 12a + 18b - 6c is:
6(2a + 3b - c)