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)
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.
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