please send all maths formulas class 9
Answers
(a+b)²=a²+2ab+b²
(a−b)²=a²−2ab+b²
(a+b)(a–b)=a²–b²
(x+a)(x+b)=x²+(a+b)x+ab
(x+a)(x–b)=x²+(a–b)x–ab
(x–a)(x+b)=x²+(b–a)x–ab
(x–a)(x–b)=x²–(a+b)x+ab
(a+b)³=a³+b³+3ab(a+b)
(a–b)³=a³–b³–3ab(a–b)
(x+y+z)²=x²+y²+z²+2xy+2yz+2xz
(x+y–z)²=x²+y²+z²+2xy–2yz–2xz
(x–y+z)²=x²+y²+z²–2xy–2yz+2xz
(x–y–z)²=x²+y²+z²–2xy+2yz–2xz
x³+y³+z³–3xyz=(x+y+z)(x²+y²+z²–xy–yz−xz)
x²+y²=1/2[(x+y)²+(x–y)²]
(x+a)(x+b)(x+c)=x³+(a+b+c)x²+(ab+bc+ca)x+abc
x³+y³=(x+y)(x²–xy+y²)
x³–y³=(x–y)(x²+xy+y²)
x²+y²+z²−xy–yz–zx=1/2[(x−y)²+(y−z)²+(z−x)²]
Rectangle A= l × w P = 2 × (l+w )
Triangle A = (1⁄2) × b × h P = a + b + c
Trapezoid A = (1⁄2) × h × (b1+ b2) P = a + b + c + d
Parallelogram A = b × h P = 2 (b + h)
Circle A = π r2 C = 2 π r
Algebraic Identities For Class 9
(a+b)2=a2+2ab+b2
(a−b)2=a2−2ab+b2
(a+b)(a–b)=a2–b2
(x+a)(x+b)=x2+(a+b)x+ab
(x+a)(x–b)=x2+(a–b)x–ab
(x–a)(x+b)=x2+(b–a)x–ab
(x–a)(x–b)=x2–(a+b)x+ab
(a+b)3=a3+b3+3ab(a+b)
(a–b)3=a3–b3–3ab(a–b)
(x+y+z)2=x2+y2+z2+2xy+2yz+2xz
(x+y–z)2=x2+y2+z2+2xy–2yz–2xz
(x–y+z)2=x2+y2+z2–2xy–2yz+2xz
(x–y–z)2=x2+y2+z2–2xy+2yz–2xz
x3+y3+z3–3xyz=(x+y+z)(x2+y2+z2–xy–yz−xz
x2+y2=12[(x+y)2+(x–y)2]
(x+a)(x+b)(x+c)=x3+(a+b+c)x2+(ab+bc+ca)x+abc
x3+y3=(x+y)(x2–xy+y2)
x3–y3=(x–y)(x2+xy+y2)
x2+y2+z2−xy–yz–zx=12[(x−y)2+(y−z)2+(z−x)2]
Rectangle A= l × w P = 2 × (l+w )
Triangle A = (1⁄2) × b × h P = a + b + c
Trapezoid A = (1⁄2) × h × (b1+ b2) P = a + b + c + d
Parallelogram A = b × h P = 2 (b + h)
Circle A = π r2 C = 2 π r
Question -
please send all maths formulas class 9
Answer ==>
Formula ==
Chapter = POLYNOMIALS
(a+b)² = a²+b²+2ab
(a-b) ² = a²+b²-2ab
a²-b² = (a+b)(a-b)
(x+a)(x+b) = x²+(a+b)x + ab
(x+y+z)² = x²+y²+z²+2xy+2yz+2zx
(x+y)³ = x³+y³+3x²y+3y²x
(x-y)³ = x³-y³-3x²y+3xy²
x³+y³+z³-3xyz = (x+y+z)(x²+y²+z²-xy-yz-zx)
CHAPTER = CIRCLE
area of Circle = πr²
circumference of circle = 2πr
CHAPTER = TRIANGLE
area of triangle = 1/2 × base × height (when base and height is given)
area of triangle = √s(s-a) (s-b) (s-c)
HERON'S FORMULA.
S = a+b+c/2
CHAPTER = SURFACE AREA AND VOLUMES
surface area of cuboid = 2(lb+bh+hl)
surface area of cube = 6a²
curved surface area of a cylinder = 2πrh
Total surface area of cylinder = 2πr(r+h)
Curved surface area of cone = πrl
Total surface area of cone = πr(l+r)
surface area of sphere = 4πr²
curved surface area of hemisphere = 2πr²
Total surface area of hemisphere = 3πr²
volume of a cuboid = length × breadth × height
volume of cube = a³ (edge) ³
volume of cylinder = πr²h
volume of cone = 1/3πr²h
volume of sphere = 4/3πr³
volume of a hemisphere = 2/3πr³
CHAPTER = STATICS
class mark = upper limit + lower limit /2
Mean = sigma f¡x¡/sigma f¡
Median = (n+1/2) for odd
(n/2) for even
Mode = The mode is the most frequently occurring observation.