Final answer:
To solve −13y(8y − 4), apply the distributive property to get −104y^2 as a result of multiplying −13y by 8y, and +52y from multiplying −13y by −4. The final answer is −104y^2 + 52y.
Step-by-step explanation:
To multiply −13y(8y − 4), we need to distribute the −13y across the terms inside the parenthesis. This involves applying the distributive property of multiplication over subtraction. Here are the steps:
Multiply −13y by the first term inside the parenthesis, which is 8y.
Multiply −13y by the second term inside the parenthesis, which is −4.
Add the products from steps 1 and 2 to get the final result.
Step 1: −13y * 8y = −104y2
Step 2: −13y * (−4) = 52y
Step 3: Combine the products: −104y2 + 52y
Therefore, −13y(8y − 4) is −104y2 + 52y, which corresponds to answer choice (B).