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swNJw guxnKMf k`F ky guxnKMfIkrx, pdW dw sQwnAMqrx krx auprMq smUhIkrx duAwrw guxnKMfIkrx, srbMgsmqWvw dI vrqo duAwrw guxnKMfIkrx :. GGSS Kot baba deep singh (G) Amritsar. Class -7th. Subject - Math. Teacher Name- Sonia Nahar. pUrv igAwn.
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swNJw guxnKMf k`F ky guxnKMfIkrx, pdW dw sQwnAMqrx krx auprMq smUhIkrx duAwrw guxnKMfIkrx, srbMgsmqWvw dI vrqo duAwrw guxnKMfIkrx : GGSS Kotbaba deep singh(G) Amritsar Class -7th Subject - Math Teacher Name- Sonia Nahar
pUrv igAwn guxnKMf k`F ky guxnKMfIkrx bwry jwxU huMdy hn[ pdW dw sQwnAMqrx krx auprMq smUhIkrx duAwrw guxnKMfIkrx ivDI bwry jwxkwrI hwisl krnw[ pdW dw sQwnAMqrx krx auprMq smUhIkrx duAwrw guxnKMfIkrx bwry jwxnw[ srbMgsmqWvw dI vrqo duAwrw guxnKMfIkrx ikvyN krnw
swNJw guxnKMf k`F ky guxnKMfIkrx swNJw guxnKMf k`F ky guxnKMfIkrx nUM audwhrxwN nwl smJwieAW jwvygw [ audwhrx 1: 12x2y3+18x3y dw guxnKMfIkrx kro [
h~l: id`qw igAw do pdI ivAMjk ie`k pdI 12x2y3Aqy18x3y dw joVPl hY[ 12x2y3 Aqy 18x3y dw m:s:v: pqw krn leI , AsI au`pr d`sy gey Awm vrqo vwly inXm dw pRXog krWgy[ies m:s:v: dI shwieqw nwl guxnKMf pqw kIqy jwxgy [
pg 1: ie`k pdIAW dy guxWk 12=(2×2×3)Aqy 18=(2×3×3) hn[12Aqy 18 dw m:s:v.2×3=6hY[ [12Aqy18 dy swJy guxnKMf] dovy hI ie`k pdIAW iv`c Awaux vwlIAW A~Kr sMiKAwvW x Aqy y hn[ pg2:
(1) 12x3y3 Aqy 18x3y iv`c x dy Gwq AMk kRmvwr 2 Aqy 3hn[2Aqy 3 iv`c 2 Cotw hY ies leI ,swnUM pRwpq huMdw hY x2 (@2) y dy Gwq AMk 3Aqy 1 hn[ies leI swnUM pRwpq huMdwy1 jW y pg 3: id~qIAW geIAW ie`k pdIAW dw m:s:v pg 1Aqy 2 iv`c pRwpq pdW dw guxnPl hY[ies leI 12x2y3 Aqy 18x3y dw m:s:v hY
6×x2×y=6x2yhY[ hux AsI id`qy gey do pdIAW dy hryk pd nUM Aijhy guxnKMfw dy guxnPl dy rUp iv`c ilKWgy ,ijnHW iv`c ie`k6x2y hovygw[ 12x2y3+18x3y=6x2y×2y2 + 6x2y×3x=6x2y×(2y2+3x) ies leI id`qy gey do pdI 12x2y3 +18x2y do guxnKMf 6x2y Aqy (2y2+3x)hn[
pdWdwsQwnAMqrxkrxauprMqsmUhIkrxduAwrwguxnKMfIkrx do pdIAW Aqy iqMn pdIAW iv`c swfI pihlI ikirAW ivAMjk dy swry pdw iv~co swJy guxnKMf nUM bwhr k`Fx dI sI [kdy kdy Aijhw krnw sMBv nhI huMdw, pr ivAMjk dy pdW nUM smUhW iv`c vMf ky hryk smUh iv~co ie`k sWJw guxnKMf bwhr k`Fxw sMBv huMdw hY[ guxnKMfIkrx dI ies ivDI nUM smUhIkrx duAwrw guxnKMfIkrx krnw kihMdy hW[
pdWdwsQwnAMqrxkrxauprMqsmUhIkrxduAwrwguxnKMfIkrx pdW dy smUh aunHW dy sQwnAMqr duAwrw vI bxwey jw skdy hn[ ies ivDI dw pRXog iqMn jW iqMn qo v`D pdW vwly ivAMjkW iv`c kIqw jWdw hY[
srbMgsmqWvw dI vrqo duAwrw guxnKMfIkrx : Awau AsI audwhrxW duAwrw AljbreI ivAMjkW dy guxnKMfIkrx iv~c ienHW srbMgsmqwvw dI aupXogqw vyKIey[
svwl 1: 9x2-49 dw guxnKMfIkrx kro[ h~l: ivAMjk nUM do vrgW dy AMqr dy rUp iv`c ies qrHW iliKAW jw skdw hY[ 9x2-49=(3x)2-(7)2 =(3x+7)(3x-7)
svwl 2 22a2+33b3dy guxnKMf pqw kro[ h`l ie`Qy dovyN pdW iv`c koeI sWJI A`Kr sMiKAw nhIN hY[ ies leI 22a2 Aqy 33b3 dw (m.s.v) hY[ ies qrHw 22a2+33b3=11*2a2+11*3b3 =11(2a2+3b3) ies leI,loNVINdy guxnKMf 11 Aqy 2a2+3b3 hn[
svwl 3 2xy+6x2y2+14x2+y3 dy guxnKMf pqw kro[ h`l ie`Qy AsIN iqMnW pdw dw m.s.v pqw krky guxnKMf krWgy[ ie`Qy m.s.v =2xy 2xy+6x2y2+14x2y3 =2xy*1+2xy*3xy+2xy*7xy2 =2xy(1+3xy+7xy2) iesy qrHW id`qy gey ivAMjkW dy guxnKMf 2xy Aqy (1+3xy+7xy2) hn[
sROq pMjwb skUl is~iKAw borf A~TvI dI ihswb dI pwT-pusqk