We can assert that Algebra is the core of maths. If you genuinely want to know about mathematics and its fundamentals then you should have a clear and in depth knowledge of algebra. If someone asks you to calculate the product of 223 and 112, you can easily do it manually or with a calculator. But when it comes to exponential (e) of 223 and logarithmic (log) of 112 then most definitely, you will need some kind of algebraic calculating machine or algebra problem solver. Graphing a circle will be easy for this given formula X2 + Y2 = 4 but when it comes for an inequality like (X-2)2 + (Y-4)2 > 20 then it will be quite harder to plot the graph. In this situation algebra software can help you immensely since you only need to enter the inequality and graph will be plotted within a fraction of second. These kinds of packages can very easily work out any kind of algebraic, arithmetical and radical expressions of any level of difficulty.
Domain and Range of a Function
Now it is very easy to find the domain and range of functions like Y = X2, you can just tell that X and Y can take any real number from the X-Y plane but have you ever thought of defining the domain and range of log(tan 2x + sin 3x) = cosine(-4)(2x). But thanks to algebra calculating systems, you can now solve these complex sums in no time while being able to comprehend each and every step that it takes you to successfully work out the mathematical question.
Coordinate Geometry
It is now, easier than ever to find the vertex and directrix or whether a parabola opens up or down, using algebra software packages. In addition, subtraction and multiplication of trinomials, you are more likely to become tired because they require a lot of terms to be manipulated. However, by leaving the job up to algebra calculators, you will be able to get results within a shorter period with 100% accuracy. Solving determinants and matrices of 3×3 or 4×4 order can become very tough since it involves lots of calculation; getting inverse of matrices even more so. However using algebra software systems will make this task much simpler.
So, with the introduction of algebra software programs, the times where you dreaded the sight of indices, fractions or radical equations , comes to an end. If you could not stand geometry, you may even start liking it now thanks to the computerized algebra systems that will automatically plot everything you ever need.