Question

Which expression is equivalent to the expression below? Select all that apply. –25(15 – 20d + 5c) A. –30 + 40d – 10c B. –6 + 8d – 2c C. –2c + 8d – 6 D. 6 – 8d + 2c

Answer 1

The answer to your question is  B, and I am pretty sure of it.

Answer 2

Answer:

The equivalent expressions are:

A.  -30 + 40d - 10c, B. -6 + 8d - 2c and D. 6 - 8d + 2c.

Step-by-step explanation:

The given expression is -25(15 - 20d + 5c).

-25(15 - 20d + 5c) = -25[5(3 - 4d + c)]

= -125(3 - 4d + c)

So, the given expression is in the form k(3 - 4d + c) where k = -125.

The equivalent expressions are:

A.  -30 + 40d - 10c, B. -6 + 8d - 2c and D. 6 - 8d + 2c.

A. -30 + 40d - 10c

-30 + 40d - 10c = -10(3 - 4d + c)

= k(3 - 4d + c) where k = -10

B. -6 + 8d - 2c

-6 + 8d - 2c = -2(3 - 4d + c)

= k(3 - 4d + c) where k = -2

D. 6 - 8d + 2c

6 - 8d + 2c = 2(3 - 4d + c)

= k(3 - 4d + c) where k = 2