Question

Which expression is equivalent to 3x(bx + 10)–(x^2-5x+c)?

A. -3bx^2+25x+c
B. -x^2(3b+35)x-c
C. (3b-1)x^2-5x+10+c
D. (3b-1)x^2+35x-c

Answer 1

The choice D.

`(3b - 1) {x}^(2) + 35x - c`

Explanation:

`3x(bx + 10) - ( {x}^(2) - 5x + c) \\ \\( 3b {x}^(2) + 30x) + ( - {x}^(2) + 5x - c) \\ \\ 3b {x}^(2) - {x}^(2) + 35x - c \\ \\ = (3b - 1) {x}^(2) + 35x - c`

I hope I helped you^_^