Question

Which of the following expressions is equivalent to 8x2 – 5x + 3x (4 - 2x)?

A 2x2 + 7x
b. 3x2 + 2x
c. x2 + 5x
d. 14x2 + 7X​

Answer 1

A 2x^2 + 7x

Step-by-step explanation:

We will assume 8x2 – 5x + 3x (4 - 2x) is actually:

8x^2 – 5x + 3x (4 - 2x)

8x^2 – 5x + 12x - 6x^2 [Expand brackets]

2x^2 + 7x [Combine like terms]

A 2x^2 + 7x

Answer 2

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

Step-by-step explanation:

To simplify the expression 8x^2 - 5x + 3x(4 - 2x), we can start by distributing the 3x to both terms inside the parenthesis:

8x^2 - 5x + 3x(4 - 2x) = 8x^2 - 5x + 12x - 6x^2

Next, combine like terms:

8x^2 - 6x^2 - 5x + 12x = 2x^2 + 7x

Therefore, the equivalent expression is 2x^2 + 7x. So, the correct answer is Option B: 2x^2 + 7x.