About Use the given equations in a complete proof of each theorem. Your proof should be expressed in complete English sentences. (a) Theorem: If a, b, and c are integers such that a3|b and b2|c, then a6|c.

(b) Theorem: If m and n are integers such that m|n, then m|(5n3 - 2n2 3n).

(c) Theorem: If n is an odd integer, then 4 divides n2-1.

(d) Theorem:The sum of the squares of any two consecutive integers is odd.

he used the algebra tiles correctly.

step-by-step explanation:

given : 3x(2x-1)

solution :

since he used algebra tiles .

armando's solution is the same in the solution shown in figure

as he distributed 2x into x and x and wrote them vertically

and also write   -1 vertically

and 3x into x and x and x and wrote it horizontally

performing the multiplication in the algebra tiles we get

and solving the given expression :

3x(2x-1)

since solving the expression using tiles   and solving the expression algebraically we get the same answer

thus   we can choose the first statement as the answer to this problem which is "he used the algebra tiles correctly".

where are the images of the functions i can only see the question you typed.

step-by-step explanation:

-1   1/6.   you dont subtract the denominators

step-by-step explanation:

provide more details to solve it

step-by-step explanation: