Question

2. Divide the following and write your answer in lowest terms

Answer 1

SOLUTION IS IN THE ATTACHMENT

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)

HOPE THIS WILL HELP YOU….

Answer 2

Solution:-

given by:-
$\frac{2 {x}^{2} + 13x + 15}{ {x}^{2} + 3x - 10} \div \frac{2 {x}^{2} - x - 6 }{ {x}^{2} - 4x + 4} \\ \frac{2 {x}^{2} + 10x + 3x + 15}{ {x}^{2} + 5x - 2x - 10} \div \frac{2 {x}^{2} - 4x + 3x - 6 }{ {x}^{2} - 2x - 2x + 4} \\ \frac{2x(x + 5) + 3(x + 5)}{x(x + 5) - 2(x + 5)} \times \frac{x(x - 2) - 2(x - 2)}{2x(x - 2) +3(x - 2) } \\ \frac{(x + 5)(2x + 3)}{(x + 5)(x - 2)} \times \frac{(x - 2)(x - 2)}{(x - 2)(2x + 3)} \\ = 1 \: ans$
☆i hope its help☆