How do you simplify 2x+3x2−9+xx−3?
1 Answer
Jan 11, 2018
Explanation:
before adding the fractions we require them to have
a common denominator
factorise the denominator x2−9
x2−9=(x−3)(x+3)←difference of squares
multiply numerator/denominator ofxx−3 by (x+3)
=3(x−3)(x+3)+x(x+3)(x−3)(x+3)
add the numerators leaving the denominator
=3+x2+3x(x−3)(x+3)=x2+3x+3(x−3)(x+3)