Question

Expand and simplify: 6(3c+4)-3(2c-4)

Answer 1

12x +36

Explanation:

We will split this into two different equations 6(3c+4) and 3(2c-4)

To expand the first part we must multiple each number in the parentheses by the outside number which is 6* 3c= 18c and 6*4= 24

We must do the same process for the second part, but this time there is a negative sign before the three so it is -3*(2c) = -6c and -3*-4= 12

Now that we have it fully expanded we must now add like terms:

18c-6c = 12c

24+12 = 36

Combined the new equation is 12x +36

Answer 2

To expand and simplify the expression 6(3c+4)-3(2c-4), we can use the distributive property to multiply each term inside the parentheses by the respective coefficient. Then, we can simplify by combining like terms.

6(3c+4) - 3(2c-4)

= 18c + 24 - 6c + 12 [Applying the distributive property]

= (18c - 6c) + (24 + 12) [Combining like terms]

= 12c + 36 [Simplifying further]

So, the expanded and simplified form of 6(3c+4)-3(2c-4) is 12c + 36.