Respuesta :
Step-by-step explanation:
1)
Take 12x as a common factor
12x(3x-2)
12 since both 36 and 24 are divisible by 12
2)
Take 12x as a common factor again
12x(x-2)
3)
Take 15x as a common factor
15x(3x²-2)
3x²-2 can be written as the difference of 2 squares
15x(√3 x+√2)(√3 x-√2)
Answer:
[tex]12x(3x-2); 12x(x-2); 15x(3x^2-2)[/tex]
Step-by-step explanation:
Look at the coefficients of the first espression. 36 and 24 are both multiples of 12. We can collect 12x from both and we get
[tex]36x^2-24x=12x(3x-2)[/tex]
Second, 12 and 24 are obviously one twice the other, the common factor is again 12x:
[tex]12x^2-24x = 12x(x^2-2)[/tex]
Third polynomial: this time the greatest common divisor of 45 and 30 is 15. Let's collect 15x from either
[tex]45x^3-30x=15x(3x^2-2)[/tex]