Ask AI: which is equivalent to 7y(y-2z) - 2y(2y+z) A.13y^2-11yz B.y^2-11yz C.y^2-17yz D.12y^2-4yz

To find the equivalent expression for \( 7y(y - 2z) - 2y(2y + z) \), let's expand and simplify the expression step by step. First, distribute the terms within the expression. Expand \( 7y(y - 2z) \): \[ 7y(y) - 7y(2z) \] \[ 7y^2 - 14yz \] Next, expand \( -2y(2y + z) \): \[ -2y(2y) - 2y(z) \] \[ -4y^2 - 2yz \] Now, combine the two expanded parts: \[ 7y^2 - 14yz - 4y^2 - 2yz \] Combine like terms: \[ (7y^2 - 4y^2) + (-14yz - 2yz) \] \[ 3y^2 - 16yz \] So, the simplified expression is: \[ 3y^2 - 16yz \] Unfortunately, none of the provided answer choices exactly match \( 3y^2 - 16yz \). Given some similar patterns, if there are any mistakes in the problem statement or the answer choices, you might recheck the options. However, based on the correct expansion and simplification, the accurate simplified form is \( 3y^2 - 16yz \).