Pure Math Explained

Introduction to pure math explained:

The pure mathematics is defined as combinations of algebra, geometry, topology and number theory and analysis. Pure mathematics looks at the boundary of math and pure reason. It has been explained as "that part of math activity that is done without explicit or immediate consideration of direct application," although what is "pure" in one era often becomes applied later. In this article we will solve geometry and algebra examples for pure math explained.

Examples – Pure Math Explained:

Let us we will solve the example problems for pure math explained.

Now we are going to solve the example problem in geometry using line and circle shape for pure math explained.

Example 1:

The slope of the geometric line which passes through (3.3, 17.2) and (9.8, 21.5), find the slope value of this line?

Solution:

We know that the slope of a line can be found as m =`(Y2-Y1)/(X2-X1)`

Here, x1 = 3.3 x2 = 9.8 y1=17.2 y2 =21.5

m = `(21.5 - 17.2)/(9.8-3.3)`

= `4.3/6.5`

m =0.66

So the slope of the line is found to be 0.66.

Example 2:

What is the area of the circle if r=1.8cm?

Solution:

Formula = `pi` r2

= 3.14*1.8*1.8

= 10.17cm2

Example for Pure Math Explained:
Let us we will solve the example problem in algebra for pure math explained.

Problem 3:

Solve the given polynomial equations.

7x2 + 5 + 6x + 3x2 + 2x + 4 + 8x

Solution:

Step 1:

First we have to mingle terms x2

7x2 + 3x2=10x2

Step 2:

Now combine the terms x

6x + 2x + 8x = 16x

Step 3:

Then join the constants terms

5 + 4 =9

Step 4:

Finally, combine all the terms

10x2 + 16x +9

So, the final answer is 10x2 + 16x +9

Example 4:

Enlarge the following using identities, (6m)2-(15n)2

Solution:

Step 1:

Given, (6m)2-(15n)2

Take, (6m)2 - (15n)2, for this we need to use the identity, a2 - b2 = (a+b) (a-b)

Here, a = 6m and b = 15n.

Step 2:

As a result, (6m)2 -(15n)2 = (6m+15n) (6m-15n)

These are example problems for pure math explained.

That’s all about pure math explained.