Question 175767
I will answer your first question (should only ask one question per post).
{{{((3/4)x+(1/6))^2=((3/4)x+(1/6))((3/4)x+(1/6))}}}
Foiling, we get
{{{((3/4)x)((3/4)x) + ((3/4)x)(1/6) + (1/6)((3/4)x) + (1/6)(1/6)}}}
Simplifying, we get
{{{(9/16)x^2 + (3/24)x + (3/24)x + (1/36)}}}
Combining like terms we get
{{{(9/16)x^2 + (6/24)x + (1/36)}}}
Reducing the fraction from 6/24 to 1/4, we have the answer:
{{{(9/16)x^2 + (1/4)x + (1/36)}}}