Question

Multiplying binomials with Multiply. (c+4)(8c+1) Simplify. your answer.

Answer 1

The simplified form of the product of the binomials (c+4) and (8c+1) is 8c^2 + 33c + 4, which is arrived at by using the distributive property or FOIL method.

Step-by-step explanation:

To find the product of the binomials (c+4) and (8c+1), we use the distributive property, also known as the FOIL method. FOIL stands for First, Outer, Inner, Last which represents the pairs of terms that get multiplied together.

1. First, multiply the first terms in each binomial: c * 8c = 8c^2.
2. Then, multiply the outer terms: c * 1 = c.
3. Now, multiply the inner terms: 4 * 8c = 32c.
4. Finally, multiply the last terms in each binomial: 4 * 1 = 4.

So, the product of the binomials (c+4)(8c+1) comes out to be: 8c^2 + c + 32c + 4. Combine like terms to simplify, we get: 8c^2 + 33c + 4.

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