Question

What value of c makes the statement true?
-2x3(cx3 + x2) = -10x6 - 2x5

Answer 1

c = 5

Explanation:

Distribute the left side and compare like terms with the right side.

- 2x³(cx³ + x²) = - 2c
`x^(6)` - 2
`x^(5)`

Compare to - 10
`x^(6)` - 2
`x^(5)`

For the 2 sides to equate then

- 2c
`x^(6)` = - 10
`x^(6)`

Hence c =
`(-10)/(-2)` = 5