x2−92x+6the fraction with numerator x squared minus 9 and denominator 2 x plus 6 end-fraction Use the difference of squares formula
Factor out the greatest common factor, which is
x2−9=(x−3)(x+3)x squared minus 9 equals open paren x minus 3 close paren open paren x plus 3 close paren
(x−3)(x+3)2(x+3)=x−32the fraction with numerator open paren x minus 3 close paren open paren x plus 3 close paren and denominator 2 open paren x plus 3 close paren end-fraction equals the fraction with numerator x minus 3 and denominator 2 end-fraction ✅ The simplified expression is
x2−92x+6the fraction with numerator x squared minus 9 and denominator 2 x plus 6 end-fraction Use the difference of squares formula
Factor out the greatest common factor, which is x2−92x+6the fraction with numerator x squared minus 9
x2−9=(x−3)(x+3)x squared minus 9 equals open paren x minus 3 close paren open paren x plus 3 close paren x2−92x+6the fraction with numerator x squared minus 9
(x−3)(x+3)2(x+3)=x−32the fraction with numerator open paren x minus 3 close paren open paren x plus 3 close paren and denominator 2 open paren x plus 3 close paren end-fraction equals the fraction with numerator x minus 3 and denominator 2 end-fraction ✅ The simplified expression is x2−92x+6the fraction with numerator x squared minus 9