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WWW.PUNJABSTUDY.IN ਵੈਬਸਾਇਟ ਵਿਦਿਆਰਥੀਆਂ ਨੂੰ ਵਜ਼ੀਫੇ ਅਤੇ ਹੋਰ ਪ੍ਰੀਖਿਆਵਾਂ ਪਾਸ ਕਰਨ ਵਿੱਚ ਮਦਦ ਕਰੇਗੀ ।ਤੁਸੀਂ ਆਪਣੇ ਕੀਮਤੀ ਵਿਚਾਰ ਸਾਨੂੰ ਦੇ ਸਕਦੇ ਹੋ । ਤੁਹਾਡੇ ਵਿਚਾਰ ਸਾਡਾ ਮਾਰਗਦਰਸ਼ਨ ਕਰਨਗੇ । ਤੁਹਾਡੀ ਮੇਹਨਤ ਅਤੇ ਲਗਨ ਆਉਣ ਵਾਲੇ ਕੱਲ ਦੀ ਸਫਲਤਾ ਦੀ ਬੁਨਿਆਦ ਨੂੰ ਮਜ਼ਬੂਤ ਕਰਦੀ ਹੈ .Thought of the day ---Even the genius asks questions. END IS NOT THE END IN FACT E.N.D. MEANS "EFFORTS NEVER DIE." -DR. A.P.J. ABDUL KALAM . SLOW SUCCESS BUILDS CHARACTER,FAST SUCCESS BUILDS EGO. -SIR RATAN TATA . WHEN YOUR PARENTS ARE NOT RICH BUT STILL AFFORDS TO GIVE YOU A BEAUTIFUL LIFE, APPRECIATE THEIR SACRIFICES. - SWAMI VIVEKANANDA HOME IS DARK WITHOUT MOM, LIFE IS DARK WITHOUT DAD. - DR. A.P.J. ABDUL KALAM. NEVER FORGET YOUR ROOTS, AND ALWAYS BE PROUD OF WHERE YOU COME FROM. - SIR RATAN TATA. FROM BIRTH TO DEATH, THERE MAY BE A MILLION RELATIONSHIPS BUT YOU WILL NEVER FIND A CARING FATHER AND A LOVING MOTHER AGAIN. EVERYTHING IS BEAUTIFUL DEPENDING ON THE SITUATION .A BELL SOUNDS IRRITATING AT 9AM BUT THE SAME BELL SOUNDS MELODIOUS AT 4PM. - DR. A.P.J. ABDUL KALAM. IF YOU WANT TO WALK FAST, WALK ALONE. BUT IF YOU WANT TO WALK FAR,WALK TOGETHER. -SIR RATAN TATA . THE BIGGEST MISTAKE ONE CAN MAKE IS LOSING YOURSELF IN THE PROCESS OF VALUING SOMEONE TOO MUCH AND FORGETTING THAT YOU ARE SPECIAL TOO. -SWAMI VIVEKANANDA. BEHAVIOUR IS ALWAYS GREATER THAN KNOWLEDGE. BECAUSE IN LIFE THERE ARE MANY SITUATIONS WHERE KNOWLEDGE FAILS BUT BEHAVIOUR CAN STILL HANDLE. -DR.A.P.J.ABDUL KALAM. DON'T BE SERIOUS ,ENJOY LIFE AS IT COMES. - SIR RATAN TATA. EVERYTHING IS EASY WHEN YOU ARE BUSY.BUT NOTHING IS EASY WHEN YOU ARE LAZY. -SWAMI VIVEKANANDA .

📖 *Algebra formulas* 📖

1.🚩 (a+b)²= a²+2ab+b²

2.🚩 (a+b)²= (a-b)²+4ab

3.🚩 (a-b)²= a²-2ab+b²

4.🚩 (a-b)²= (a+b)²-4ab

5.🚩 a² + b²= (a+b)²-2ab.

6.🚩 a² + b²= (a-b)²+2ab.

7.🚩 a²-b²= (a +b)(a -b)

8.🚩 2(a²+b²)= (a+b)²+(a-b)²

9.🚩 4ab = (a+b)²-(a-b)²

10.🚩 ab = {(a+b)/2}²-{(a-b)/2}²

11.🚩 (a+b+c)² = a²+b²+c²+2(ab+bc+ca)

12.🚩 (a+b)³ = a³+3a²b+3ab²+b³

13.🚩 (a+b)³ = a³+b³+3ab(a+b)

14.🚩 a-b)³= a³-3a²b+3ab²-b³

15.🚩 (a-b)³= a³-b³-3ab(a-b)

16.🚩 a³+b³= (a+b) (a²-ab+b²)

17.🚩 a³+b³= (a+b)³-3ab(a+b)

18.🚩 a³-b³ = (a-b) (a²+ab+b²)

19.🚩 a³-b³ = (a-b)³+3ab(a-b)

20..🚩 (a² + b² + c²) = (a + b + c)² – 2(ab + bc + ca)

21.🚩 2 (ab + bc + ca) = (a + b + c)² – (a² + b² + c²)

22.🚩 (a + b + c)³ = a³ + b³ + c³ + 3 (a + b) (b + c) (c + a)

23.🚩 a³ + b³ + c³ – 3abc =(a+b+c)(a² + b²+ c²–ab–bc– ca)

24.🚩 a3 + b3 + c3 – 3abc =½ (a+b+c) { (a–b)²+(b–c)²+(c–a)²}

25.🚩(x + a) (x + b) = x² + (a + b) x + ab

26.🚩 (x + a) (x – b) = x² + (a – b) x – ab

27.🚩 (x – a) (x + b) = x² + (b – a) x – ab

28.🚩 (x – a) (x – b) = x² – (a + b) x + ab

29.🚩 (x+p) (x+q) (x+r) = x³ + (p+q+r) x² + (pq+qr+rp) x +pqr

30.🚩 bc (b-c) + ca (c- a) + ab (a - b) = - (b - c) (c- a) (a - b)

31.🚩 a² (b- c) + b² (c- a) + c² (a - b) = -(b-c) (c-a) (a - b)

32.🚩 a (b² - c²) + b (c² - a²) + c (a² - b²) = (b - c) (c- a) (a - b)

33.🚩 a³ (b - c) + b³ (c-a) +c³ (a -b) =- (b-c) (c-a) (a - b)(a + b + c)

34.🚩 b²-c² (b²-c²) + c²a²(c²-a²)+a²b²(a²-b²)=-(b-c) (c-a) (a-b) (b+c) (c+a) (a+b)

35.🚩 (ab + bc+ca) (a+b+c) - abc = (a + b)(b + c) (c+a)

36.🚩 (b + c)(c + a)(a + b) + abc = (a + b +c) (ab + bc + ca)