Math help...?

Question

Can anyone answer this and PLEASE tell me how they got their answer.

Which of the following expressions represents the product of 3 less that twice x and 2 more than the quantity of 3 times x?

A. -6x squared + 25x +6
B. 6x squared + 5x + 6
C. 6x squared + 5x + 6
D. 6x squared - 5x - 6
E. 6x squared - 13x - 6

Answer 1

3 less than twice x = (2x-3)
2 more than 3 times x = (3x+2)

to multiply (2x-3) (3x+2), use FOIL = first, outer, inner, last
first = 2x*3x = 6x squared (also written as 6x^2)
outer = 2x * 2 = 4x
inner = -3 * 3x = -9x
last = -3 * 2 = -6

all of that together, 6x^2 + 4x - 9x - 6 =
D) 6x^2 -5x - 6

Answer 2

The expression "3 less than twice x" can be written mathematically as (2x-3).
The expression "2 more than three times x" can be written as (3x+2).

So the product of the above two can be written as:
(2x-3)(3x+2)
Which can be simplified by multiplying the content of each bracket.
= 2x * 3x + 2 * 2x - 3 * 3x - 3 * 2
= 6x squared + 4x - 9x - 6
= 6x squared - 5x - 6

Which is the answer no. D


:)

Answer 3

You find a product by multiplication.

"3 less than twice x" = 2x - 3
"2 more than the quantity of 3 times x" = 3x + 2

Multiply the two using FOIL (First, Inside, Outside, Last):

(2x-3)*(3x+2) = (2x*3x) + (2x*2) +(-3*3x)+(-3*2)
= 6x^2 + 4x + -9x + -6
= 6x^2 -5x - 6

Answer 4

Let's break this down.
"3 less than twice x"
= 3 less than 2x
= 2x - 3

"2 more than the quantity of 3 times x"
= 2 more than 3x
= 3x + 2

"Product of 3 less than twice x and 2 more than the quantity of 3 times x"
= (2x - 3)(3x + 2)
= 6x^2 +4x - 9x - 6
= 6x^2 - 5x - 6

D. will be your answer

Answer 5

Take it step by step and convert words into an equation.

(2x - 3)(3x + 2) = 6x² + 4x - 9x - 6 = 6x² - 5x - 6

The answer is D.

Answer 6

use FOIL (first inside outside last)
(2x-3)(3x+2) = (2x)(3x) + 2(2x) - 3(3x) - (3)(2)
= 6x^2 + 4x - 9x - 6
= 6x^2 - 5x - 6

(D)