Question

Multiplying binomials with leading coefficients greater than 1 Multiply. (5+2c)(6-5c)

Answer 1

To multiply binomials with leading coefficients greater than 1, use the distributive property and combine like terms.

Step-by-step explanation:

To multiply binomials with leading coefficients greater than 1, we use the distributive property. In this case, we have (5+2c)(6-5c). We multiply each term in the first binomial by each term in the second binomial and then add the resulting terms.

First, multiply 5 by 6 to get 30. Then, multiply 5 by -5c to get -25c. Next, multiply 2c by 6 to get 12c. Finally, multiply 2c by -5c to get -10c^2.

Now we combine the like terms: 30 - 25c + 12c - 10c^2. Simplifying further, we get -10c^2 - 13c + 30.