Question

[(2x²+5x-3)/(2x²+9x+9)] ÷ [(2x²+x-1)/(2x²+x-3)]​

Answer 1

Step-by-step explanation:

In attachment I have answered this problem.

RATIONAL EXPRESSIONS :

A rational number is defined as a quotient a/b, of two integers a and b and b ≠0.A rational expression is a quotient p(x) /q(x) of two Polynomials p(x) and q(x) ,where q(x) ≠0.

•When the numerator and denominator of a rational expression do not have any common factor except 1, the rational expression is said to be expressed in the lowest terms.

•To reduce a rational expression to the lowest terms, factorise the numerator and the denominator and cancel the factors which are common to both.

•DIVISION OF RATIONAL EXPRESSIONS : p(x)/q(x) ÷ g(x)/h(x) = p(x)/q(x) × h(x)/g(x)

• I hope it's help you.☺