Simplify 3(x - 4) + 8(x + 2).
A)11x - 4
B)11x + 4
C)11x - 2
3(x - 4) + 8(x + 2)
3x-12+8x+16
3x+8x=11x
-12+16=4
B(:
To simplify the expression 3(x - 4) + 8(x + 2), we need to apply the distributive property. The distributive property states that for any real numbers a, b, and c, the product of a and the sum of b and c is equal to the sum of the products of a and b and a and c.
In this case, we have:
3(x - 4) + 8(x + 2)
To distribute the 3 and 8, we multiply them separately with each term inside the parentheses:
3 * x = 3x
3 * (-4) = -12
8 * x = 8x
8 * 2 = 16
Now we can rewrite the expression as:
3x - 12 + 8x + 16
Combining like terms, we have:
(3x + 8x) + (-12 + 16)
11x + 4
Therefore, the simplified expression is 11x + 4, which corresponds to option B).