Respuesta :
8x2 – 24x + 20x – 60
We are given the expression:
[tex]8x^{2}-24x+20x-60[/tex]
Now we have to perform following steps here:
Step 1: Find the GCF
The GCF here is 4, so taking out the GCF
[tex]8x^{2}-24x+20x-60[/tex]
=[tex]4(2x^{2}-6x+5x-15)[/tex]
Step 2: Factor by grouping
Group first two terms together and last two terms together,
[tex]4[(2x^{2}-6x)+(5x-15)][/tex]
Now factor each group by finding GCF,
[tex]4[(2x(x-3)+5(x-3)][/tex]
=[tex]4[(2x+5)(x-3)][/tex]
Answer: The final factorised form is [tex]4[(2x+5)(x-3)][/tex].
