How do you simplify 2x+3x29+xx3?

1 Answer
Jan 11, 2018

x2+3x+3(x3)(x+3)

Explanation:

before adding the fractions we require them to have
a common denominator

factorise the denominator x29

x29=(x3)(x+3)difference of squares

multiply numerator/denominator ofxx3 by (x+3)

=3(x3)(x+3)+x(x+3)(x3)(x+3)

add the numerators leaving the denominator

=3+x2+3x(x3)(x+3)=x2+3x+3(x3)(x+3)