Please give all formulas for maths 9th CBSE all lessons and some important questions. Please hurry . Tomorrow is exam
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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.
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.
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HEMANTHKUMAR007:
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It will be useful
Thanks but I think I'll prepare for 10th next year but now I have to prepare for tomorrow's exam. Thanks a lot anyway
But no formulas of surface area and volume?
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Thanks a lot
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If you don't mind, can you thank my answer and mark it as brainiest answer
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Answered by
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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)
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