Question

Please give all formulas for maths 9th CBSE all lessons and some important questions. Please hurry . Tomorrow is exam

Answer 1

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1. (a + b)2 = a2 + 2ab + b2

2. (a – b)2 = a2 -2ab + b2

3. (a + b) (a – b) = a2 -b2

4. (x + a)(x + b) = x2 + (a + b) x + ab

5. (x + a)(x – b) = x2 + (a – b) x -ab

6. (x – a)(x + b) = x2 + (b – a) x -ab

7. (x – a)(x – b) = x2 – (a + b) x + ab

8. (a + b)3 = a3 + b3 + 3ab(a + b)

9. (a – b)3 = a3 – b3 – 3ab (a – b)

10. (x + y + z)2 = x2 + y2 + z2 + 2xy +2yz + 2xz

11. (x + y – z)2 = x2 + y2 + z2 + 2xy – 2yz – 2xz

12. (x – y + z)2 = x2 + y2 + z2 – 2xy – 2yz + 2xz

13. (x – y – z)2 = x2 + y2 + z2 – 2xy + 2yz – 2xz

14. x3 + y3 + z3 – 3xyz = (x + y + z)(x2 + y2 + z2 – xy – yz -xz)

15. x2 + y2 = 1212 [(x + y)2 + (x – y)2]

16. (x + a) (x + b) (x + c) = x3 + (a + b + c)x2 + (ab + bc + ca)x + abc

17. x3 + y3 = (x + y) (x2 – xy + y2)

18. x3 – y3 = (x – y) (x2 + xy + y2)

19. x2 + y2 + z2 -xy -yz -zx = 1212 [(x-y)2+(y-z)2+(z-x)2]

Pythagorean Theorem:

a2 + b2 = c2

Distance formula:

d = (x2−x1)2+(y2−y1)2−−−−−−−−−−−−−−−−−−√(x2−x1)2+(y2−y1)2.

Slope of a line m = y2−y1x2−x1y2−y1x2−x1.

Midpoint Formula : (x1+x22,y1+y22)(x1+x22,y1+y22).

Slope of an Equation y = mx + b

Quadratic Equation:

Quadratic Equation: x = −b±b2−4ac√2a−b±b2−4ac2a.

Standard form of equation ax2 + bx + c = 0

Geometry Shapes Formulas for Class 9

Geometric Figure Area Perimeter

Rectangle A=l×w P=2(l+w)

Triangle A=12bh P=a+b+c

Trapezoid A = 12h(b1+b2) P=a+b+c+d

Parallelogram A=bh P=2(b+h)

Circle A=πr2 C=2πr


THE FORMULAS FOR SURFACE AREAS AND VOLUMES HAS BEEN ATTACHED IN THE ABOVE PHOTO.

Answer 2

1) (a+b)² = a²+ 2ab+b²

2) (a-b)² = a²-2ab+ b²

3) a² + b²= (a + b)²- 2ab

4) a² - b²= (a + b) (a - b)

5) ( a+b)³= a³ + 3a b + b³

6 (a + b)³= a³ + b³ + 3ab ( a + b)

7) (a - b)³ = a³ - 3a² b + 3ab² - b³

8) a³ + b³= (a + b)³ - 3ab ( a + b)

9) a³ - b³ = (a - b)³ + 3ab ( a - b)

10) (a + b + c)²= a² + b² + c² + 2 ( ab + bc + ca)