c) x2 - 8x - 9
= x2 + x - 9x - 9
= x.(x+1) - 9.(x+1)
= (x+1).(x-9)
d) x2 + 14x + 48
= x2 + 8x + 6x + 48
= x.(x+8) + 6.(x+8)
= (x+8).(x+6)
c/ \(x^2-8x-9=\left(x^2+x\right)-\left(9x+9\right)=x\left(x+1\right)-9\left(x+1\right)=\left(x+1\right)\left(x-9\right)\)
d/ \(x^2+14x+48=x^2+6x+8x+48=x\left(x+6\right)+8\left(x+6\right)=\left(x+6\right)\left(x+8\right)\)
c) \(x^2-8x-9\)
\(=x^2+x-9x-9\)
\(=x\left(x+1\right)-9\left(x+1\right)\)
\(=\left(x+1\right)\left(x-9\right)\)
d) \(x^2+14x+48\)
\(=x^2+6x+8x+48\)
\(=x\left(x+6\right)+8\left(x+6\right)\)
\(=\left(x+6\right)\left(x+8\right)\)