Answer:
2. -3/8 * -4 + 3/8 * 1/2
Step-by-step explanation:
The given expression is
[tex]-\frac{3}{8}(-4+\frac{1}{2} )[/tex]
When we rewrite -4 as -3-1
We get [tex]-\frac{3}{8}(-3-1+(\frac{1}{2} )[/tex]
Now add the -1 and the ½ to get:
[tex]-\frac{3}{8}(-3+-\frac{1}{2} )[/tex]
Expand now to get:
[tex]-\frac{3}{8}*-3+-\frac{3}{8}*-\frac{1}{2} )[/tex]...This gives the first option.
Again, we expand the parenthesis of the original directly using the distributive to obtain;
[tex]-\frac{3}{8}*-4-\frac{3}{8}*\frac{1}{2}[/tex]......This gave us the third option.
We could also simplify the expression in the parenthesis first to get;
[tex]-\frac{3}{8}*(\frac{-8+1}{2})[/tex]
[tex]-\frac{3}{8}*(\frac{-7}{2})[/tex]
[tex]-\frac{3}{8}*-3\frac{1}{2}[/tex]....This is the fourth option.
Hence the second options is NOT equivalent to the given expresion.
