Problem
Multiply. \[ (y-8 z)(y+3 z) \] Simplify your answer.
Solution
Step 1 ：\((y-8 z)(y+3 z) = y(y+3 z) - 8z(y+3 z)\)
Step 2 ：\(= y^2 + 3yz - 8zy - 24z^2\)
Step 3 ：\(= y^2 - 5yz - 24z^2\)
Step 4 ：\(\boxed{y^2 - 5yz - 24z^2}\)
Step 1 ：\((y-8 z)(y+3 z) = y(y+3 z) - 8z(y+3 z)\)
Step 2 ：\(= y^2 + 3yz - 8zy - 24z^2\)
Step 3 ：\(= y^2 - 5yz - 24z^2\)
Step 4 ：\(\boxed{y^2 - 5yz - 24z^2}\)
