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(X + Y) 2 = X 2 + 2XY + Y 2 dk T;kferh; fu:i.k

(X + Y) 2 = X 2 + 2XY + Y 2 dk T;kferh; fu:i.k. X+Y. jes”k cMksuh. X+Y. mn~ns';. bl l= ds vUr esa Nk = (X + Y) 2 dk foLrkj tku ldsaxsA loZlfedk (X + Y) 2 = X 2 + 2XY + Y 2 dk T;kferh ; :i ls le> ldsaxsA. iwoZKku. Nk = pj jkf”k;ksa ds ; ksx o xq.kk ls ifjfpr gSaA

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(X + Y) 2 = X 2 + 2XY + Y 2 dk T;kferh; fu:i.k

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  1. (X + Y)2 = X2 + 2XY + Y2dk T;kferh; fu:i.k X+Y jes”kcMksuh X+Y

  2. mn~ns'; bl l= dsvUresaNk= • (X + Y)2dkfoLrkjtkuldsaxsA • loZlfedk(X + Y)2 = X2 + 2XY + Y2dkT;kferh; :i ls le> ldsaxsA

  3. iwoZKku • Nk= pjjkf”k;ksads ;ksx o xq.kklsifjfprgSaA • Nk= oxZ o vk;rdsxq.k/keksaZlsifjfprgSaA • Nk= oxZ o vk;rds {ks=Qydslw= lsifjfprgSaA b vk;r a oxZ a {ks=Qy = yEckbZ x pkSM+kbZ = a x b = ab a {ks=Qy = ¼Hkqtk½2= a x a = a2

  4. ekuk ,d oxZ gS]ftldh izR;sd Hkqtk X + Y bdkbZ gSA X+Y Hkqtk Hkqtk X+Y bl oxZ dk {ks=Qy = ¼Hkqtk½2 gksxkA vr% {ks=Qy = (X + Y)2

  5. X bdkbZ Hkqtk ds oxZ dk {ks=Qy ¼Hkqtk½2 {ks=Qy= X Hkqtk Hkqtk X {ks=Qy = X x X = X2

  6. X yEckbZ rFkk Y pkSM+kbZ ds vk;r dk {ks=Qy {ks=Qy = yEckbZ x pkSM+kbZ yEckbZ X pkSM+kbZ Y {ks=Qy= XxY = XY

  7. X yEckbZ rFkk Y pkSM+kbZ ds vk;r dk {ks=Qy {ks=Qy = yEckbZ x pkSM+kbZ pkSM+kbZ Y X yEckbZ {ks=Qy=Y x X = XY

  8. Y bdkbZ Hkqtk ds oxZ dk {ks=Qy {ks=Qy = ¼Hkqtk½2 Y Hkqtk Hkqtk Y {ks=Qy=Y x Y = Y2

  9. ;fn XbdkbZHkqtkds ,d oxZ] XyEckbZrFkkYpkSM+kbZdsnksvk;r] rFkkYbdkbZHkqtkds ,d oxZdksla;ksftrdjsa& X X+Y Y Y X X+Y pkjksavkd`fr;ksadksfeykusijX + YHkqtkdk ,d oxZcurkgSA

  10. Hkqtk X X yEckbZ X+Y Hkqtk Y Hkqtk pkSM+kbZ Hkqtk Y X Hkqtk yEckbZ pkSM+kbZ X+Y Hkqtk {ks=Qy= +Y2 X2 + XY + XY = X2 + 2XY +Y2 = (X + Y)2 (X + Y)2 = X2 + 2XY + Y2

  11. blh izdkj (2X + Y)2dk foLrkj gksxk % Hkqtk 2X 2X yEckbZ 2X+Y Hkqtk Y Hkqtk pkSM+kbZ Hkqtk 2X Y Hkqtk yEckbZ pkSM+kbZ 2X+Y Hkqtk {ks=Qy= 4X2 + 2XY + 2XY +Y2 = 4X2 + 4XY +Y2 = (2X + Y)2 (2X + Y)2 = 4X2 + 4XY + Y2

  12. vkdyu • (X + 2Y)2dkT;kfefr dh lgk;rklsfoLrkjdhft,A • (3P + 4R)2dkT;kfefr dh lgk;rklsfoLrkjdhft,A

  13. fu"d’kZ • bl l= dsvUresaNk=ksa us • (X + Y)2dsfoLrkjdkstkukA • loZlfedk(X + Y)2 = X2 + 2XY + Y2dksT;kferh; :i ls le>kA

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