Factorize 3g3−3g2: Write the factored form of 3g3−3g2.Factor out 3g2 from 3g3 and 3g2.3g3−3g2=3g2(g−1)
Factorize 8g−8: Write the factored form of 8g−8.Factor out 8 from 8g and 8.8g−8=8(g−1)
Factorize 3g3−3g2+8g−8: We found:3g3−3g2=3g2(g−1)8g−8=8(g−1)Write the factored form of 3g3−3g2+8g−8.Factor out (g−1) from 3g2(g−1) and 8(g−1).So, the factored form of 3g3−3g2+8g−8 is: (3g2+8)(g−1)