56.0k views
24 votes
Help solve these algebraic fractions please with explanation would be great <3​

Help solve these algebraic fractions please with explanation would be great <3​-example-1

1 Answer

12 votes

Answer:

7/ Ans;


(x + 2)/( x + 4) / \frac{ {x }^(2) - 2x - 8}{ {x}^(2) + 2x - 8} \\ \\ \\ (x + 2)/(x + 4) * \frac{ {x}^(2) + 2x - 8 }{ {x}^(2) - 2x - 8} \\ \\ \\ (x + 2)/(x + 4) * ((x - 2)(x + 4))/((x - 4)(x + 2)) \\ \\ \\ =1 * (x - 2)/(x - 4) \\ \\ \\ = (x - 2)/(x - 4)

___o__o__

9/Ans;


\frac{ {x}^(2) - 9}{ {x}^(2) - 6x + 9} / (x + 4)/(x - 3) \\ \\ \frac{ {x}^(2) - 9 }{ {x}^(2) - 6x + 9} * (x - 3)/(x + 4) \\ \\ \\ ((x + 3)(x - 3))/((x - 3)(x - 3)) * (x - 3)/(x + 4) \\ \\ \\ = ((x + 3))/(1) * (1)/((x + 4)) \\ \\ \\ = (x + 3)/(x + 4)

__o__o__

In the two questions, we first replace the division with multiplication with flipping the fraction after the division sign, secondly we analyze any equation that needs analysis to simplify it, thirdly, to simplify the fraction by deleting the numerator and the similar denominator .

User Brokentypewriter
by
7.7k points