multiply (5x-2) by (3x+4)?

15x^2 + 14x - 8

= (5x - 2)(3x + 4)
= 15x² + 20x - 6x - 8
= 15x² + 14x - 8

Answer: 15x² + 14x - 8

use foil (first outside inside last)
5x*3x
5x*4
-2*3x
-2*4

so,
15x^2+20x-6x-8

simplified
15x^2+14x-8 would be the final answer.

15x^2 + 20x -6x -8 =
15x^2 +14x -8

(5x - 2) (3x + 4)
= 15x^2 + 20x - 6x - 8
= 15x^2 + 14x - 8 Answer

F.O.I.L

First Outer Inner Last

5x•3x + 5x•4 + (-2•3x) + (-2•4)

15x^2 + 20x - 6x -8

15x^2 + 14x - 8 <---answer

the area of the function (5x +4)/(x^2 +3x +2) is the place (x^2 +3x +2) isn't 0. (x^2 +3x +2) = (x+a million)(x+2) so exclude x=-a million and x=-2 g(x)=sq. root of x + sq. root of (4-x). For the two sqrts to exist 4?x and x?0

(5x-2)(3x+4)
= 15x^2 + 20x - 6x -8
= 15x^2 +14x - 8

(5x - 2)(3x + 4)
= 5x*3x - 2*3x + 5x*4 - 2*4
= 15x^2 - 6x + 20x - 8
= 15x^2 + 14x - 8

15 x ² + 20 x - 6 x - 8

15 x ² + 14 x - 8