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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Up-sampling and Down-sampling using MAT LAB

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p=imread('BIRDS.jpg');
q=imresize(p,0.5);
r=imresize(q,0.25);
s=imresize(q,2);
figure;

subplot(2,2,1);imshow(p);title('original image');
subplot(2,2,2);imshow(q);title('downsampled by 2');
subplot(2,2,3);imshow(s);title('upsampled by 2');
subplot(2,2,4);imshow(r);title ('downsampled by 8');


OUTPUT:

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