Basic Algebra

 (a + b)2= a2 + 2ab + b2 (a – b)2 = a2 – 2ab + b2 a2 – b2 = (a + b)(a – b) a2 + b2 = (a + b)2 – 2ab  or  (a – b)2 + 2ab (a + b + c)2 = a2 + b2 + c2 + 2(ab + bc +ac)  or  a2 + b2 + c2 + 2ab + 2bc + 2ca (a – b – c)2 = a2 + b2 + c2 – 2(ab – bc +ac)  or  a2 + b2 + c2 – 2ab + 2bc – 2ca (a + b)3 = a3 + b3 + 3ab(a + b)  or  a3 + 3a2b + 3ab2 + b3 (a – b)3 = a3 – b3 – 3ab(a – b)  or  a3 – 3a2b + 3ab2 – b3 a3 – b3 = (a – b)(a2 + ab + b2) a3 + b3 = (a + b)(a2 – ab + b2) a4 – b4 = (a2 – b2)(a2 + b2)  or  (a – b)(a + b)(a2 + b2) a5 – b5 = (a – b)(a4 + a3b + a2b2 + ab3 + b4) an + bn = (a + b)(an-1 – an-2b + an-3b2 … – abn-2 + bn-1)

Indices

 pn = p.p.p…….n times pn⋅ pm = pm+n pn ⋅ qn = (p ⋅ q)n pm/ pn = xm-n pn / qn = (p / q)n (pn)m = pn⋅m pnm = p(nm) p-n = 1 / pn a0 = 1 where a ∈ R , a!=0

Mathematical Properties

 Commutative Property of Addition : a + b = b + a Commutative Property of Multiplication : a x b = b x a Associative Property of Addition : a + (b + c) = (a + b) + c Associative Property of Multiplication : a x (b x c) = (a x b) x c Additive Identity Property : a + 0 = a Multiplicative Identity Property :  a x 1 = a Additive Inverse Property : a + ( – a ) = 0 Multiplicative Inverse Property : a ( 1/a ) = 1 Zero Property of Multiplication  : a x 0 = 0

Mensuration

 Perimeter Square = 4aRectangle = 2a +2bTriangle = a + b + c Circumference Circle = 2 (pi) r = (pi) x diameter Area Square = a2Rectangle = a x bParallelogram = b x hTriangle= ½ (base x height)Trapezoid = h/2 (b1 + b2)Circle = pi x r 2Equilateral Triangle = ½(ah) = [ sqrt(3) / 4 ] x a2Triangle with given a,b,c = sqrt [ s(s-a)(s-b)(s-c) ] when s = (a+b+c)/2 (Heron’s Formula)Sphere = 4 (pi) r2 Surface Area Cube= 6a2Cylinder = 2 . pi . r . hSphere = 4 x pi x r 2 Volume Cylinder = bhCone = bh/3Sphere = 4 x pi x r3 / 3 Pythagoras Theorem a2 + b2 = c2 Distance Formula d = sqrt[(x2 – x1)2 +(y2 – y1)2] Slope of a line m = y2 – y1 / x2 -x1 Mid- Point Formula M = (x1 + x2 )/ 2 , (y1 + y2 )/ 2 Slope-intercept form of the equation of a line y = mx + c Quadratic formula X = [-b ± sqrt(b2 – 4ac)] /2a
*More Formulas will be added very soon…
Report any mistake in the comment section.

### This Post Has 26 Comments

1. NAEEM

THANKS!!! THIS HELPED ALOT

2. ACX

thanks

3. ali

Plzz make one for Physics

4. Nasir

Plz make one for Physics

1. SIKANDAR JAMIL

Amazing!

great work thanks

best website in the world

1. Daniyal

Indeed

1. Usman

Sir 11th class ky liye koi material nahi ha magr you are doing well and Very well job

plz make for physics

8. Aayan Zaidi

Nice

9. kashan

Good work Thanks For This Help

اللہ تعالی عزوجل یہ علمی ویب سائیٹ بنانے والے انکے والدین بیوی بچوں کے علم عُمر عمل میں بے حساب اضافہ فرمائیں اور ان سب کا خاتمہ ایمان پر فرمائیں آمین ثم آمین یارب العالمین بجاہ النبی الامین صلی اللہ تعالی علیہ والہ واصحابہ وبارک وسلم

1. Author

11. Emily

Thank you so much Sir
May God always be with u and give all happiness u desire…
I am really very glad of ur effort
👏

1. Author

Welcome.

12. Sohail Abbas

Great Work!
Appreciated and Recommended to others.
Its a great effort. May Allah success you in every field of life. You provided students and teachers a helpful platform. Kindly keep it up.

13. SUHAIL Abbas Buller

Nice I appreciate your team sir plz make a age khan board related to MCQs

14. A.H

Really its good, I really appreciate your hard-work sir. :))

15. javeria

these are helpful and very good it helped me alot to complete my full book revision and i got full marks

16. Epic Mateen

This is insane now I can easily reviews all formulas form only one place 👌
Keep it up

17. name

18. Umer Naveed

Jazak Allah

19. Umer Naveed

Allah aap say razi ho….

20. ahmed

mashaAllah great work , helped a lot

21. Abbas

Plz make one for Physics