A student expanded the expression −6(4x−213) . Is the student's work correct? If not, what was their mistake?(1 point)ResponsesNo, the student should have multiplied 4x and −213 by 6.No, the student should have multiplied 4 x and negative 2 over 13 by 6.No, the student should have multiplied 4x and −213 by −6.No, the student should have multiplied 4 x and negative 2 over 13 by negative 6.Yes, the student's work is correct.Yes, the student's work is correct.No, the student should have added −6 to 4x and −213.

Answer 1

The expression given is \(-6(4x - 213)\). To correctly expand this expression, we need to distribute \(-6\) to both terms inside the parentheses.

The correct steps are:

1. Multiply \(-6\) by \(4x\): \[ -6 \cdot 4x = -24x \]

2. Multiply \(-6\) by \(-213\): \[ -6 \cdot -213 = 1278 \]

So, the expanded expression is: \[ -24x + 1278 \]

Now, looking at the options provided:

The correct response is: No, the student should have multiplied 4x and −213 by −6.