–2x(–3x 2y)(2y) = ?
A. 12x3y2
B. –3xy2
C. 3xy2
D. –12x3y2
–2x(–3x 2y)(2y)
-2x(-6xy)(2y)
24x^2y^2
To simplify the expression –2x(–3x 2y)(2y), we need to follow the order of operations, which is parentheses, exponents, multiplication and division from left to right, and finally addition and subtraction from left to right.
Let's break it down step by step:
Step 1: Solve the parentheses:
–3x 2y means –3x multiplied by the quantity 2y. So we replace –3x 2y with –3x * 2y, which equals –6xy.
Step 2: Substitute the simplified expression back into the original expression:
–2x(–6xy)(2y)
Step 3: Multiply the terms:
–2 * –6 * x * x * y * 2 * y
Step 4: Simplify the products:
12x^3y^2
Therefore, the answer is A. 12x^3y^2.