ANSWER:
A) Therefore the statement is not true
B) Therefore the statement is not true
C) Therefore the statement is true
D)Therefore the statement is not true
STEP-BY-STEP EXPLANATION:
In this case we review each statement to determine if it is true or not
A)
[tex]\begin{gathered} n^2\cdot n^2=(n+n)^2 \\ n^2\cdot n^2=n^4 \\ (n+n)^2=(2n)^2=4n^2 \\ n^4\ne4n^2 \end{gathered}[/tex]
Therefore the statement is not true
B)
[tex]\begin{gathered} \frac{2}{3}-\frac{3}{4}-\frac{1}{5}=\frac{1}{5}-\frac{3}{4}-\frac{2}{3} \\ \frac{2}{3}-\frac{3}{4}-\frac{1}{5}=-\frac{17}{60} \\ \frac{1}{5}-\frac{3}{4}-\frac{2}{3}=-\frac{73}{60} \\ -\frac{17}{60}\ne-\frac{73}{60} \end{gathered}[/tex]
Therefore the statement is not true
C)
[tex]\begin{gathered} 3^3-5^2+4^3=82-2^4 \\ 3^3-5^2+4^3=27-25+64=66 \\ 82-2^4=66 \\ 66=66 \end{gathered}[/tex]
Therefore the statement is true
D)
[tex]\begin{gathered} 19+6-10+z=z+6-10 \\ 19+6-10+z=z+15 \\ z+6-10=z-4 \\ z+15\ne z-4 \end{gathered}[/tex]
Therefore the statement is not true
