Basic algebra formulas that you can revise anytime and anywhere

FORMULAS FOR BEGINNER (a+b) ^2= a^2+b^2+2ab (a+b) ^2= (a-b) ^2+4ab (a-b) ^2= a^2+b^2-2ab (a-b) ^2= (a+b) ^2-4ab a^2+b^2= (a+b) ^2-2ab a^2+b^2= (a-b) ^2+ 2ab a^2-b^2= (a+b) (a-b) (a+b+c) ^2= a^2+b^2+c^2+2(ab+bc+ac) (a-b-c) ^2= a^2+b^2+c^2-2(ab-bc+ac) (a+b) ^3= a^3+b^3+3ab(a+b) (a-b) ^3= a^3-b^3+3ab(a-b) a^3+b^3= (a+b) (a^2-ab+b^2) a^3-b^3= (a-b) (a^2+ab+b^2) a^4-b^4= (a^2-b^2) (a^2+b^2) = (a^2+b^2) (a+b) (a-b) a^5+b^5= (a+b) (a^4-a^3b+a^2b^2-ab^3+b^4) a^5-b^5= (a-b) (a^4+a^3b+a^2b^2+ab^3+b^4)

Matrices related codes

Add matrices

#include < stdio.h >
int main()
{
int m, n, c, d, first[10][10], second[10][10], sum[10][10];
printf("Enter the number of rows and columns of matrix\n");
scanf("%d%d", &m, &n);
printf("Enter the elements of first matrix\n");
for ( c = 0 ; c < m ; c++ )
for ( d = 0 ; d < n ; d++ )
scanf("%d", &first[c][d]);
printf("Enter the elements of second matrix\n");
for ( c = 0 ; c < m ; c++ )
for ( d = 0 ; d < n ; d++ )
scanf("%d", &second[c][d]);
for ( c = 0 ; c < m ; c++ )
for ( d = 0 ; d < n ; d++ )
sum[c][d] = first[c][d] + second[c][d];
printf("Sum of entered matrices:-\n");
for ( c = 0 ; c < m ; c++ )
{
for ( d = 0 ; d < n ; d++ )
printf("%d\t", sum[c][d]);
printf("\n");
}
return 0;
}



Subtract matrices

#include < stdio.h >
int main()
{
int m, n, c, d, first[10][10], second[10][10], difference[10][10];
printf("Enter the number of rows and columns of matrix\n");
scanf("%d%d", &m, &n);
printf("Enter the elements of first matrix\n");
for (c = 0; c < m; c++)
for (d = 0 ; d < n; d++)
scanf("%d", &first[c][d]);
printf("Enter the elements of second matrix\n");
for (c = 0; c < m; c++)
for (d = 0; d < n; d++)
scanf("%d", &second[c][d]);
for (c = 0; c < m; c++)
for (d = 0; d < n; d++)
difference[c][d] = first[c][d] - second[c][d];
printf("difference of entered matrices:-\n");
for (c = 0; c < m; c++)
{
for (d = 0; d < n; d++)
printf("%d\t",difference[c][d]);
printf("\n");
}
 return 0;
}



Transpose matrix

#include < stdio.h >
int main()
{
int m, n, c, d, matrix[10][10], transpose[10][10];
printf("Enter the number of rows and columns of matrix ");
scanf("%d%d",&m,&n); printf("Enter the elements of matrix \n");
for( c = 0 ; c < m ; c++ )
{
for( d = 0 ; d < n ; d++ )
{
scanf("%d",&matrix[c][d]);
}
}
for( c = 0 ; c < m ; c++ )
{
for( d = 0 ; d < n ; d++ )
{
transpose[d][c] = matrix[c][d];
}
}
printf("Transpose of entered matrix :-\n");
for( c = 0 ; c < n ; c++ )
{
for( d = 0 ; d < m ; d++ )
{
printf("%d\t",transpose[c][d]);
}
printf("\n");
}
return 0;
}



Multiply two matrices

#include < stdio.h >
int main()
{
int m, n, p, q, c, d, k, sum = 0;
int first[10][10], second[10][10], multiply[10][10];
printf("Enter the number of rows and columns of first matrix\n");
scanf("%d%d", &m, &n);
printf("Enter the elements of first matrix\n");
for ( c = 0 ; c < m ; c++ )
for ( d = 0 ; d < n ; d++ )
scanf("%d", &first[c][d]);
printf("Enter the number of rows and columns of second matrix\n");
scanf("%d%d", &p, &q);
if ( n != p )
printf("Matrices with entered orders can't be multiplied with each other.\n");
else
{
printf("Enter the elements of second matrix\n");
for ( c = 0 ; c < p ; c++ )
for ( d = 0 ; d < q ; d++ )
scanf("%d", &second[c][d]);
for ( c = 0 ; c < m ; c++ )
{
for ( d = 0 ; d < q ; d++ )
{
for ( k = 0 ; k < p ; k++ )
{
sum = sum + first[c][k]*second[k][d];
}
multiply[c][d] = sum;
sum = 0;
}
}
printf("Product of entered matrices:-\n");
for ( c = 0 ; c < m ; c++ )
{
for ( d = 0 ; d < q ; d++ )
printf("%d\t", multiply[c][d]);
printf("\n");
}
}
return 0;
}



Linear search

#include < stdio.h >
int main()
{
int array[100], search, c, n;
printf("Enter the number of elements in array\n");
scanf("%d",&n);
printf("Enter %d integer(s)\n", n);
for (c = 0; c < n; c++)
scanf("%d", &array[c]);
printf("Enter the number to search\n");
scanf("%d", &search);
for (c = 0; c < n; c++)
{
if (array[c] == search)
{
printf("%d is present at location %d.\n", search, c+1);
break;
}
}
if (c == n)
printf("%d is not present in array.\n", search);
return 0;
}





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