Step 1 ) Break up the expression.
[tex] \displaystyle\ y^{2} + 6y -16 [/tex]
[tex] \displaystyle\ (y^{2} -2y) + (8y -16) [/tex]
Step 2 ) Factor y from [tex] y^{2} - 2y [/tex].
[tex] \displaystyle\ (y^{2} -2y) + (8y -16) [/tex]
[tex] \displaystyle\ y ( y - 2 ) [/tex]
Step 3 ) Factor 8 from [tex] 8y - 16 [/tex]
[tex] \displaystyle\ (y^{2} -2y) + (8y -16) [/tex]
[tex] \displaystyle\ 8 ( y - 2) [/tex]
Step 4 ) Place new factors in group.
[tex] \displaystyle\ y ( y - 2 ) [/tex]
[tex] \displaystyle\ 8 ( y - 2) [/tex]
[tex] \displaystyle\ y(y-2)+8(y-2) [/tex]
Step 5 ) Distribute.
[tex] \displaystyle\ y(y-2)+8(y-2) [/tex]
[tex] \displaystyle\ (y-2) + 8(y-2) [/tex]
[tex] \displaystyle\ (y-2) (y+8) [/tex]
The expression factored is...
[tex] \framebox {=(y-2)(y+8)} [/tex]
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- Marlon Nunez
