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

Question

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Respuesta :

boffeemadrid boffeemadrid · Answer 1 · 2019-02-11T06:31:53+01:00

Answer:

[tex](a+c-b)(c^{2}-d)[/tex]

Step-by-step explanation:

The given equation is:

[tex]ac^{2}-ad+c^{3}-cd-bc^{2}+bd[/tex]

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

[tex]a(c^{2}-d)+c(c^{2}-d)-b(c^{2}-d)[/tex]

Now, taking [tex](c^{2}-d)[/tex] common from all the terms, we get

[tex](a+c-b)(c^{2}-d)[/tex]

which is the required product form of the given expression.

SerenaBochenek SerenaBochenek · Answer 2 · 2019-02-11T07:13:19+01:00

Answer:

The product form is [tex](c^2-d)(a+c-b)[/tex]

Step-by-step explanation:

Given the expression [tex]ac^2-ad+c^3-cd-bc^2+bd[/tex]

we have to write the above expression as a product.

[tex]ac^2-ad+c^3-cd-bc^2+bd[/tex]

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

[tex]a(c^2-d)+c(c^2-d)-b(c^2-d)[/tex]

Now, taking [tex]c^2-d[/tex] common

⇒ [tex](c^2-d)(a+c-b)[/tex]

Hence, the product form is [tex](c^2-d)(a+c-b)[/tex]