To find the product of the two binomials (3c−5)(c+3), we use the distributive property, also known as the FOIL method. FOIL stands for First, Outer, Inner, Last.

First, we multiply the first terms in each binomial:
3c * c = 3c^2

Next, we multiply the outer terms:
3c * 3 = 9c

Then, we multiply the inner terms:
-5 * c = -5c

Finally, we multiply the last terms in each binomial:
-5 * 3 = -15

Now, we add all these terms together:
3c^2 + 9c - 5c - 15

Combine like terms:
3c^2 + 4c - 15

So, the product of (3c−5)(c+3) in standard form is 3c^2 + 4c - 15.

Question

To find the product of the two binomials (3c−5)(c+3), we use the distributive property, also known as the FOIL method. FOIL stands for First, Outer, Inner, Last.

First, we multiply the first terms in each binomial:
3c * c = 3c^2

Next, we multiply the outer terms:
3c * 3 = 9c

Then, we multiply the inner terms:
-5 * c = -5c

Finally, we multiply the last terms in each binomial:
-5 * 3 = -15

Now, we add all these terms together:
3c^2 + 9c - 5c - 15

Combine like terms:
3c^2 + 4c - 15

So, the product of (3c−5)(c+3) in standard form is 3c^2 + 4c - 15.

Knowee AI · Accepted Answer

To find the product of the two binomials (3c−5)(c+3), we use the distributive property, also known as the FOIL method. FOIL stands for First, Outer, Inner, Last.

First, we multiply the first terms in each binomial:
3c * c = 3c^2

Next, we multiply the outer terms:
3c * 3 = 9c

Then, we multiply the inner terms:
-5 * c = -5c

Finally, we multiply the last terms in each binomial:
-5 * 3 = -15

Now, we add all these terms together:
3c^2 + 9c - 5c - 15

Combine like terms:
3c^2 + 4c - 15

So, the product of (3c−5)(c+3) in standard form is 3c^2 + 4c - 15.

Find the product. Write your solution in standard form. (3c−5)(c+3)

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