Question

Please help! :)

Answer 1

Answer:

Part A. 5n

Part B. 5n (2n –3) ( n + 2x)

Step-by-step explanation:

A. Ans ;

10n³ – 15 n² + 20 xn² – 30 xn

Factors ; 10 —> 10 , 5 , 2 , 1

Factors ; 5 —> 5 , 1

Factors ; 20 —> 20 , 10 , 5 , 4 , 2 , 1

Factors ; 30 —> 30 , 15 , 10 , 6 , 5 , 3 , 2, 1

The greatest common factor of numbers is ; 5

n³—> n , n , n

n² —> n , n

xn² —> x , n , n

xn —> x , n

The greatest common factor of the variables is ; n

So ; Greatest common factor : 5n

B . Ans ;

$10 {n}^{3} - 15 {n}^{2} + 20x {n}^{2} - 30xn \\ 5n(2 {n}^{2} - 3n + 4xn - 6x) \\ 5n(2n - 3)(n + 2x)$

I hope I helped you^_^