Question

Use the mathematical properties to write the expression given as anequivalent expression in simplest form.6(2 - 3X) +1i)

Answer 1

The expression 6(2 - 3X) + 1 simplifies to 13 - 18X by using the distributive property and combining like terms.

Step-by-step explanation:

Simplifying Algebraic Expressions

To simplify the given expression 6(2 - 3X) + 1, we use the distributive property to multiply each term within the parenthesis by 6 and then combine like terms if possible:

1. Multiply 6 by 2, which gives 12.
2. Multiply 6 by -3X, which gives -18X.
3. Add the product with the +1, to get the final simplified expression.

The expression now becomes 12 - 18X + 1. We combine the constant terms 12 and 1 to get 13. Therefore, the simplest form of the expression is 13 - 18X.

To check if the simplification is reasonable, we look for any terms that can be combined further or any common factors that can be factored out, but in this case, there are none. The expression is in its simplest form.