Question

which expression is equivalent to 4(7) x 4(-5) ?
A. 4(12)
B. 4(2)
C. 4(-2)
D. 4(-35)

Answer 1

To simplify the expression \(4(7) \times 4(-5)\), we can first calculate the individual products and then combine them.

1. Calculate \(4(7) = 28\)
2. Calculate \(4(-5) = -20\)

Now multiply the two results together:
\[
28 \times -20 = -560
\]

Next, we can express \(-560\) in a form that involves \(4\):
\[
-560 = 4 \times (-140)
\]
This simplifies to \(-140\) from \(28 \times (-5) = -140\).

To find an equivalent expression, we can express \(-140\) in terms of a multiple of \(4\):
\[
-140 = 4 \times (-35)
\]

Thus, the expression \(4(7) \times 4(-5)\) is equivalent to \(4(-35)\).

Therefore, the correct answer is:
**D. 4(-35)**.