[tex]( {n}^{2} + 3n {}^{2} + 5n - 9) \div (n - 1)[/tex]
COLLECT like terms
[tex](4n {}^{2} + 5n - 9) \div (n - 1)[/tex]
WRITE the division as a fraction
[tex] \frac{4n {}^{2} + 5n - 9}{n - 1} [/tex]
write 5n as difference
[tex] \frac{4n {}^{2} + 9n - 4n - 9}{n - 1} [/tex]
factor out n from the expression
[tex] \frac{n \times (4n + 9) - 4n - 9}{ n - 1} [/tex]
factor out the negative sign from the expression
[tex] \frac{n \times (4n + 9) - (4n + 9)}{n - 1} [/tex]
factor out 4n + 9 from the expression
[tex] \frac{(4n + 9) \times (n - 1)}{n - 1} [/tex]
reduce the fraction with n-1
[tex]4n + 9[/tex]
sorry ang tagal [totoo ang mga answer]
