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Find the product. Write your solution in standard form. (6a+5)(5a+3)

Question

Find the product. Write your solution in standard form. (6a+5)(5a+3)

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Solution

To find the product of the two binomials (6a+5)(5a+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: 6a * 5a = 30a^2

Next, we multiply the outer terms: 6a * 3 = 18a

Then, we multiply the inner terms: 5 * 5a = 25a

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

Now, we add all these terms together: 30a^2 + 18a + 25a + 15

Combine like terms: 30a^2 + 43a + 15

So, the product of (6a+5)(5a+3) in standard form is 30a^2 + 43a + 15.

This problem has been solved

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