Answer:
(x+5)/(2x+3)
Step-by-step explanation:
So we know the top part is difference of two squares. So thats (x+5)(x-5)
The bottom part
Firstly you do 2 times -15= -30
Now we need to find two numbers with a difference of 7 but multiply to give 30.
30
1 x 30
2 x 15
3 x 10
5 x 6
From here we can see 3-10=-7 and multiply to make -30
So we do 2x²-10x+3x-15
simplify this in two different parts: 2x²-10x and 3x-15
2x(x-5) and 3(x-5)
Therefore we get (2x+3)(x-5)
(x+5)(x-5)/(2x+3)(x-5)
x-5 is common so they cancel each other out leaving you with
(x+5)/(2x+3)
I hoped this helped :)
