Question

Which expression is equivalent to 3x(bx+10−(x2−5x+c)

A
(3b−1)x2−5x+10+c

B
−x2+(3b+35)x−c

C
−3bx2+25x+c

D
(3b−1)x2+35x−c

Answer 1

Step-by-step explanation:

Answer 2

The equivalent expression is D. (3b - 1)x^2 + 35x - c.

Step-by-step explanation:

Let's analyze each option:

A. (3b - 1)x^2 - 5x + 10 + c: This incorrectly expands the parentheses in the original expression, resulting in an additional +10 term.

B. -x^2 + (3b + 35)x - c: This incorrectly combines the constant terms and introduces a +35x term not present in the original expression.

C. -3bx^2 + 25x + c: This incorrectly expands the parentheses and introduces a +25x term instead of the original -5x term.

D. (3b - 1)x^2 + 35x - c: This correctly expands the parentheses and combines like terms, matching the original expression.

Therefore, only option D accurately represents the simplified form of the original expression.