Question

Which of the following expressions is equivalent to 8x^(2)-5x+3x(4-2x) ? (A) 2x^(2)+7x (B) 3x^(2)+2x (c) 8x^(2)+5x (D) 14x^(2)+7x

Answer 1

Let's simplify the given expression step by step:

8x^2 - 5x + 3x(4 - 2x)

First, distribute the 3x across the terms inside the parentheses:

8x^2 - 5x + 12x - 6x^2

Combine like terms:

(8x^2 - 6x^2) + (-5x + 12x)

2x^2 + 7x

The simplified expression is 2x^2 + 7x.

So, the correct option is (A) 2x^2 + 7x.