The average of x1, X2, x3.xn is 4, then the average of 5x1 + 6, 5x2 + 6... 5xn + 6 is? (5x1 + 6 is 5 times X1 plus 6) Explain clearly

The average of x1, X2, x3.xn is 4, then the average of 5x1 + 6, 5x2 + 6... 5xn + 6 is? (5x1 + 6 is 5 times X1 plus 6) Explain clearly


Because:
(x1+x2+x3+.+xn)/n=4
So:
(5x1+6+5x2+6+5x3+.+xn)/n
=(5x1+5x2+...+5xn+6n)/n
=(5x1+5x2+...+5xn)/n+6n/n
=5(x1+x2+x3+...+xn)/n+6
=5*4+6
=26



Factorization: 5x2-10x + 5=______ .


5x2-10x+5,=5(x2-2x+1),=5(x-1)2.



Factorization: 5x2-15x3y + 20xy2
The second power of 5x minus the third power of 15x, y plus the second power of 20XY


5x^2-15x^3y+20xy^2
=5x^2*1-5x*3^3y+5x*4y^2
=5x^2(1-3^3y+4^y2)