Question

Which expression is equivalent to the expression below? Select all that apply.

–2/5(15 – 20d + 5c)
A. –30 + 40d – 10c
B. –6 + 8d – 2c
C. –2c + 8d – 6
D. 6 – 8d + 2c

Answer 1

B and C

Explanation:

Answer 2

`-(2)/(5)(15-20d+5c)\qquad\text{use distributive property}\\\\=\left(-(2)/(5)\right)(15)+\left(-(2)/(5)\right)(-20d)+\left(-(2)/(5)\right)(5c)\\\\=(-2)(3)+(-2)(-4d)+(-2)(c)\\\\=-6+8d-2c\\\\Answer:\\\\\boxed{B.\ -6+8d-2c}\\\boxed{C.\ -2c+8d-6}`