For each statement below enter a T (true) the statement is true and an F (false) otherwise. In this problem you need to get everything correct before receiving credit. Whenever there is a division below, we assume that the divisor is non-zero.
For all real numbers $a$, $b$, and $x$ $$a-b(x-1) = a-bx-b.$$
For all real numbers $a$, $b$, and $x$ $$a-b(x-1) = a-bx+b.$$
For all real numbers $a$, $b$, and $x$ $$\frac{3+bx}{3} = 1+bx.$$
For all real numbers $a$, $b$, and $x$ $$(x-r)^2 = x^2-r^2.$$
For all real numbers $a$, $b$, and $x$ $$(x-r)^2 = x^2-2rx+r^2.$$
For all real numbers $a$, $b$, and $x$ $$(x-r)(x+r) = x^2-r^2.$$