Question

Write as a product: ac^2–ad+c^3–cd–bc^2+bd

Answer 1

Answer:

$(a+c-b)(c^{2}-d)$

Step-by-step explanation:

The given equation is:

$ac^{2}-ad+c^{3}-cd-bc^{2}+bd$

We have to simplify it and convert to the product form, therefore taking the common terms from the given expression, we get

$a(c^{2}-d)+c(c^{2}-d)-b(c^{2}-d)$

Now, taking $(c^{2}-d)$ common from all the terms, we get

$(a+c-b)(c^{2}-d)$

which is the required product form of the given expression.

Answer 2

Answer:

The product form is $(c^2-d)(a+c-b)$

Step-by-step explanation:

Given the expression $ac^2-ad+c^3-cd-bc^2+bd$

we have to write the above expression as a product.

$ac^2-ad+c^3-cd-bc^2+bd$

Taking a common from first two terms, c from next two and -b from last two terms, we get

$a(c^2-d)+c(c^2-d)-b(c^2-d)$

Now, taking $c^2-d$ common

⇒ $(c^2-d)(a+c-b)$

Hence, the product form is $(c^2-d)(a+c-b)$