Basic algebra formulas that you can revise anytime and anywhere

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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)
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Watermark images using MATLAB

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clc
clear all
close all;
a= imread('birds.jpg');
a1= rgb2gray(a);
a2= imresize(a1,[430 700]);

b=imread('BRUCE.jpg');
b=rgb2gray(b);
b1=imresize(b,[430 700]);
[m n]= size(a2);
[m n]= size(b1);
alpha=0.5;
for i=1:m
for j=1:n
c1(i,j)=(1-alpha)*a2(i,j)+ alpha*b1(i,j);
end
end
figure;
subplot(2,2,1),imshow(a2),title('image 1');
subplot(2,2,2),imshow(b1),title('image 2');
subplot(2,2,3),imshow(c1),title('Blended image alpha = 0.5');


OUTPUT :



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