Answer:
[tex]\left(x+4\right)\left(x-6\right)[/tex]
Step-by-step explanation:
[tex]\left(x^2+4x\right)+\left(-6x-24\right)[/tex]
factor out x from [tex]x^2\\[/tex] [tex]+4x: x(x+4)[/tex]
factor out [tex]-6 from -6-24: -6(x+4)[/tex]
[tex]=x\left(x+4\right)-6\left(x+4\right)[/tex]
[tex]\mathrm{Factor\:out\:common\:term\:}x+4[/tex]
[tex]=\left(x+4\right)\left(x-6\right)[/tex]