Mark each statement TRUE or FALSE. Assume that the statement applies to all sets.

$25.A-(B-C)=(A-B)-C$

$26.(A-C)-(B-C)=A-B$

$27.A(BC)=(AB)(AC)$

$28.A(BC)=(AB)(AC)$

$29.\frac{?}{\text{b}\text{a}\text{r}}(A(\frac{?}{\text{b}\text{a}\text{r}}(B)))\frac{}{b}ar(A)\frac{?}{b}=ar(A)$

$30.$ If $AC=BC,$ then $A=B.$

$31.$ If $AC=BC,$ then $A=B.$

$32.$ If $AB=AB,$ then $A=B.$

$33.$ If $Ao+B=A,$ then $B=A.$

$34.$ There is a set A such that $|P(A)|=12.$

$35.Ao+A=A$

$25$

$[$Choose I

$26$

$[$Choose$]$

$27$

$[$Choose $|$