Question

can anyone help me on what are the rules in factoring both perfect square??thanks

Answer 1

\[(a+b)^2=a^2+2ab+b^2\]

Answer 2

so if you see
\[x^2+10x+25\] you see at a = x, b = 5 and you write
\[(x+5)^2\]

Answer 3

\[x^2+7x+\frac{49}{4}\] you thing a = x, \[b=\frac{7}{2}\] and write
\[(x+\frac{7}{2})^2\]

Answer 4

unless you meant
\[a^2-b^2=(a+b)(a-b)\] which is called "the DIFFERENCE of two squares"

Answer 5

so for example
\[x^2-100\] you can rewrite as
\[(x+10)(x-10)\]