Final answer:
To simplify (-7b)(-16b), multiply the coefficients and variables separately. The result is 112b², making the correct answer C. 112b².
Step-by-step explanation:
The question asks to simplify the expression (−7b)(−16b). To simplify a product of two negative numbers, you multiply the numerical coefficients together and the variables together, keeping in mind that a negative times a negative is a positive.
First, multiply the coefficients: −7 × −16 = +112.
Next, multiply the variables: b × b = b².
Combining both parts gives us the final simplified expression: 112b². So, the correct answer is C. 112b².
To simplify the expression (-7b)(-16b), we can multiply the coefficients (-7)(-16) to get 112. Then, we can multiply the variables b and combine the exponents to get b². Therefore, the simplified expression is 112b².