**Introduction **

In mathematics, the numerical numbers are studied by algebra. The basicalgebra contains many equations and polynomials. The basic algebra alsohas the some basic concepts. These concepts are mainly used to understand about the algebra. Here we will see about these concepts and the examples that solving by algebra calculator.

There are four basic concepts are available in algebra. Such as,

**1. Polynomial**

A polynomial of quantity one is referred as a linear polynomial.

**2. Algebraic Expressions**

It is a one of the separation of polynomial. It is denoted by a letters and exponent.

**3. Quadratic Equation**

In the basic algebra, a quadratic equation in a variable of A. An equation is as following Xa^{2}+yb+c=0

**4. Algebraic Identities**

The equation (a+b)^{2}=a^{2}+2ab+b^{2}. This is the algebraic identities.

**1) Multiplying the following two numbers using by algebra calculator.110*107.**

**Solution**

110*107= (100+10)*(100+7)

= (100)2+ (100 x 7) + (10 x 100) + (10 x 7)

=10000+ 700+1000+70

=11770.

**2) Multiplying the following three numbers using by algebra calculator. 103*104*105**

**Solution**

103*104*105 = (100+3)*(100+4)*(100+5)

= (100)^{2}+(100*4)+(3*100)+(3*4)*(100+5)

= (10000+400+300+12)*(100+5)

=10712*(100+5)

= (10712*100)+(10712*5)

= 1071200+53560

= 1124760.

**3) simplify the following equation using by algebra calculator.15x+6y+4x+5a**

**Solution**

First we must join the related terms. Here the related terms are 15x and 4x. The other are not a related terms.

Now grouping the term and get the following term.

(15x+4 x)+6y+5a

Finally we get,

19x+6y+5a.

Assemble by alphabetical order. So we got,

=5a+19x+6y.

**4) Simplify the equation by using algebra calculator. -3[-2(x-3y) +5y]**

**Solution**

Given equation is -3[-2(x-3y) +5y)]

First expand out of the round brackets.

-2(x-3y) =-2x+6y.

Applying this one to the main equation.

=-3[-2(x-3y) +5y)]

=-3[-2x+6y+5y]

= -3[-2x+11y]

=6x-33y

We can simplify this term dividing by 3

So we get the following equation

=2x-11y

These examples are calculated by algebra calculator.