This is the theory of algebra, to simply the expression we proceed as follows;
[sqrt(x-2)+5/sqrt(x-2)]/(x-2)
simplifying the numerator we get:
sqrt(x-2)+5/sqrt(x-2)
=[x-2+5]/sqrt(x-2)
=(x+3)/sqrt(x-2)
therefore our entire expression will be:
[(x+3)/sqrt(x-2)]/(x-2)
[(x+3)/(x-2)^(1/2)]*1/(x-2)
applying the law if indices we get
=(x+3)/(x-2)^(3/2)

7 0

3 years ago

What is the value of 10x+1 3

Veseljchak [2.6K]

SOLUTION

In this question, we are meant to expand the expression:

$(10x+1)^{3\text{ }}\text{ = ( 10 x + 1 ) (10 x + 1 ) ( 10 x + 1 )}$ $\begin{gathered} (10x+1)(10x+1)=100^{}x^2\text{ + 20 x + 1} \\ \text{Then,} \\ (100x^2+20x+1)(10x+1)=1000x^{3\text{ }}+200x^2+10x+100x^2\text{ + 20 x + 1} \\ \text{ = 1000 x}^{3\text{ }}\text{ + }300x^2\text{ + 30 x + 1} \\ \\ \text{CONCLUSION: ( 10 x + 1 )}^{3\text{ }}=1000x^{3\text{ }}+300x^2\text{ + 30 x +1} \end{gathered}$

7 0

10 months ago