Question

1. Multiply 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.
•MULTIPLICATION OF RATIONAL EXPRESSIONS : p(x)/q(x) × g(x)/h(x)

HOPE THIS WILL HELP YOU….

Answer 2

Solution:-

given by:-
$\frac{2x - 1}{ {x}^{2} + 2x + 4} \times \frac{ {x}^{4} - 8x}{ 2{x}^{2} + 5x - 3} \times \frac{x + 3}{ {x}^{2} - 2x } \\ \frac{2x - 1}{ {x}^{2} + 2x + 4} \times \frac{x( {x}^{3} - {2}^{3} )}{2 {x}^{2} + 6x - x - 3 } \times \frac{x + 3}{x(x - 2)} \\ \frac{(2x - 1)}{( {x}^{2} + 2x + 4)} \times \frac{x( {x} - 2)( {x}^{2} + 2x + 4) }{2x(x + 3) - 1(x + 3)} \times \frac{x + 3}{x(x - 2)} \\ \frac{(2x - 1)}{( {x}^{2} + 2x + 4) } \times \frac{x(x - 2)( {x}^{2} + 2x + 4) }{(x + 3)(2x - 1)} \times \frac{(x + 3)}{x(x - 2)} \\ = 1 \: ans$

☆i hope its its help☆