Steps to factor:
[tex]a^n+a^{n+1}[/tex]
~Apply rule of exponent ([tex]a^{b+c}=a^ba^c[/tex])
[tex]a^n+a^1a^n[/tex]
~Factor out the common term of [tex]a^n[/tex]
[tex]a^n(1+a)[/tex]
Steps to solve:
[tex]3x^3-x^2=x^2[/tex]
~Subtract [tex]x^2[/tex] to both sides
[tex]3x^3-x^2-x^2=x^2-x^2[/tex]
~Simplify
[tex]3x^3-2x^2=0[/tex]
~Factor left side of the equation
[tex]x^2(3x-2)=0[/tex]
~Set factors to equal zero
[tex]x^2=0[/tex] and [tex]3x-2=0[/tex]
~Simplify
[tex]x = 0[/tex] and [tex]x=\frac{2}{3}[/tex]
Best of Luck!
