Answer:
[tex]9x^{2}+3x-20=(3x+5)(3x-4)[/tex]
Step-by-step explanation:
We need to drag the tiles and place them in boxes to form the correct pairs.
The given options are:-
1) [tex]9x^{2}+3x-20[/tex]
2) [tex](4x-3y)^{2}[/tex]
3) [tex](3x+5)(3x-4)[/tex]
4)[tex](3x+2)(9x^{2} -6x+4)[/tex]
First we simplify the all given factor and then compare with provided options
2) [tex](4x-3y)^{2}[/tex]
=[tex]16x^{2}+9y^{2}-24xy[/tex]
3) [tex](3x+5)(3x-4)[/tex]
[tex]9x^{2}-12x+15x-20[/tex]
[tex]9x^{2}+3x-20[/tex]
Here we can see equation (3) match with (1)
so, [tex]9x^{2}+3x-20=(3x+5)(3x-4)[/tex]
Hence, the correct match is shown in figure-1