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:-
$\frac{ {x}^{2} - 3x - 10 }{ {x}^{2} - x - 20} \times \frac{ {x}^{2} - 2x + 4}{ {x}^{3} + 8 } \\ \frac{ {x}^{2} - 5x + 2x - 10}{ {x}^{2} - 5x + 4x - 20 } \times \frac{ {x}^{2} - 2x + 4}{ ( x + 2)( {x}^{2} - 2x + 4) } \\ \frac{x(x - 5) + 2(x - 5)}{x(x - 5) + 4(x - 5)} \times \frac{ 1 }{(x + 2)} \\ \frac{( x- 5)(x + 2)}{(x - 5)(x + 4)} \times \frac{1}{(x + 2)} \\ \frac{1}{(x + 4)} ans$
☆i hope its help☆