Factor the expression below completely. All coefficients should be integers.
x^2
+-
abs(CONSTANT)
The expression is in the form \pink{a^2} - \blue{b^2}
,
which is a difference of two squares so we can factor it as
(\pink{a} + \blue{b})(\pink{a} - \blue{b})
.
What are the values of \pink{a}
and \blue{b}
?
\qquad \pink{a = \sqrt{x^2} = x}
\qquad \blue{b = \sqrt{A * A} = A}
Use the values we found for \pink{a}
and \blue{b}
to complete the factored expression,
(\pink{a} + \blue{b})(\pink{a} - \blue{b})
.
So we can factor the expression as:
(\pink{x} + \blue{A})(\pink{x} - \blue{A})