a) \(9x^2+6x-8\)
\(=9x^2+12x-6x-8\)
\(=3x\left(3x+4\right)-2\left(3x+4\right)\)
\(=\left(3x+4\right)\left(3x-2\right)\)
b) \(x^2-7xy+10y^2\)
\(=x^2-2xy-5xy+10y^2\)
\(=x\left(x-2y\right)-5y\left(x-2y\right)\)
\(=\left(x-2y\right)\left(x-5y\right)\)
c) \(x^8+x^7+1\)
\(=\left(x^2+x+1\right)\left(x^6-x^4+x^3-x+1\right)\)