we have been asked to write as a product by factoring of
[tex] ac^2-ad +c^3-cd-bc^2 + bd [/tex]
This can be factorized as below
[tex] =ac^2-ad +c^3-cd-bc^2 + bd\\
\\
=ac^2-bc^2+c^3+bd-cd-ad\\
\\
=c^2(a-b+c)-d(-b+c+a)\\
\\
=c^2(a-b+c)-d(a-b+c)\\
\\
=(a-b+c)(c^2-d)\\ [/tex]
