Which expression is equivalent to 13x - 2y -3 (x + 4y) with fewer terms?
a) 16x - 14y
b) 10x - 10y
c) 10x - 14y
d) 16x - 10y
To simplify the given expression, we need to multiply the terms in the brackets by -3:
13x - 2y - 3(x + 4y) = 13x - 2y - 3x - 12y = (13x - 3x) + (-2y - 12y) = 10x - 14y
Therefore, the expression 13x - 2y -3 (x + 4y) simplified with fewer terms is:
c) 10x - 14y
To simplify the expression 13x - 2y - 3 (x + 4y) with fewer terms, we need to distribute the -3 to the terms inside the parentheses.
The expression -3 (x + 4y) can be simplified as -3x - 12y since the negative sign distributes to both terms inside the parentheses.
Now, we can simplify the original expression 13x - 2y - 3 (x + 4y) by combining like terms.
Combining the like terms 13x and -3x gives us 10x.
Combining the like terms -2y and -12y gives us -14y.
Therefore, the expression is equivalent to 10x - 14y.
The correct option is c) 10x - 14y.