x
2
+x
x
3
−x
⋅
x
2
−9x+8
6x
2
+6x−432
Greatest Common Factors:
Greatest Common Factors:
start fraction, x, left bracket, x, squared, minus, 1, right bracket, divided by, x, left bracket, x, plus, 1, right bracket, end fraction, dot, start fraction, 6, left bracket, x, squared, plus, x, minus, 72, right bracket, divided by, x, squared, minus, 9, x, plus, 8, end fraction
x(x+1)
x(x
2
−1)
⋅
x
2
−9x+8
6(x
2
+x−72)
start fraction, x, left bracket, x, minus, 1, right bracket, left bracket, x, plus, 1, right bracket, divided by, x, left bracket, x, plus, 1, right bracket, end fraction, dot, start fraction, 6, left bracket, x, minus, 8, right bracket, left bracket, x, plus, 9, right bracket, divided by, left bracket, x, minus, 1, right bracket, left bracket, x, minus, 8, right bracket, end fraction
x(x+1)
x(x−1)(x+1)
⋅
(x−1)(x−8)
6(x−8)(x+9)
Cancel Exact Binomial Factors:
Cancel Exact Binomial Factors:
Color coded.
start fraction, x, left bracket, x, minus, 1, right bracket, left bracket, x, plus, 1, right bracket, divided by, x, left bracket, x, plus, 1, right bracket, end fraction, dot, start fraction, 6, left bracket, x, minus, 8, right bracket, left bracket, x, plus, 9, right bracket, divided by, left bracket, x, minus, 1, right bracket, left bracket, x, minus, 8, right bracket, end fraction
x(x+1)
x(x−1)(x+1)
⋅
(x−1)(x−8)
6(x−8)(x+9)
start fraction, x, 6, left bracket, x, plus, 9, right bracket, divided by, x, end fraction
x
x6(x+9)
Rearrange:
Rearrange:
start fraction, 6, x, left bracket, x, plus, 9, right bracket, divided by, x, end fraction
x
6x(x+9)
Note: , start fraction, x, divided by, x, end fraction, equals, 1
Note:
x
x
=1
6, left bracket, x, plus, 9, right bracket
6(x+9)
Final Answer
it should have been osolved using this format