factor completely
(x+9)^2-5(x+9)-6
x+9=y
y^2-5y-6
(y-3)(y+2)
(x+9-3)(x+9+2)
is this correct?
one more step, from
(x+9-3)(x+9+2) simplify the inside for
(x+6)(x+11)
thank you
Yes, your factoring is correct!
To factor the expression completely, you correctly substituted x+9 with y. This allowed you to rewrite the expression as y^2 - 5y - 6.
Next, you factored the quadratic expression (y^2 - 5y - 6) to obtain (y-3)(y+2).
Since y represents x+9, you can substitute x+9 back in to obtain the final factored expression:
(x+9-3)(x+9+2), which simplifies to (x+6)(x+11).
So your final factored expression is indeed (x+6)(x+11). Well done!