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Norma-Jean [14]
3 years ago
11

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

Mathematics
2 answers:
erastovalidia [21]3 years ago
3 0

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.

tatyana61 [14]3 years ago
3 0

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)

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