FORMULAS IN MATH

 By Akshitha, 9A

 

IMPORTANT MATH FORMULAS

 

MENSURATION
1	Square				Area				A2		A = Sides
					Perimeter				4A
2	Rectangle				Area				L x B		L = Length, B= Breadth
					Perimeter				2 (L+B)
3	Triangle				Area				(1⁄2) × B × H		B =Base, H = Height
					Perimeter				A + B + C		A, B, C= Sides
4	Trapezium				Area				(1⁄2) × H × (B1+ B2)		H = Height, B = Base
					Perimeter				A + B + C + D		A, B, C, D= Sides
5	Parallelogram				Area				B x H		B = Base, H = Height
					Perimeter				2(A + B)		A = Side, B = Base
6	Circle				Area				π r2		R = Radius
					Perimeter				2 π r
SQUARE FORMULAS
1		(a+b)2				=		a2+2ab+b2
2		(a-b)2				=		a2-2ab+b2
3		(a2-b2)				=		(a-b)(a+b)
4		(x+a)(x+b)				=		x2+(a+b)x+ab
5		(a+b+c)2				=		a2+b2+c2+ 2ab + 2bc + 2ca
CUBIC FORMULAS
1		(x+y)3					=			x3+3x2y+3xy2+y3
		(x+y)3					=			x3+3xy(x+y)+y3
		(x+y)3 -3xy (x+y)					=			x3+y3
2		(x-y)3					=			x3-3x2y + 3xy3-y3
		(x-y)3					=			x3-3xy(x-y)-y3
		(x-y)3 + 3xy(x-y)					=			x3-y3
3		x3+y3+z3-3xyz					=			(x+y+z) (x2+y2+z2-2xy-2yz-2zx)
										IF (x+y+z = 0); THEN (x3+y3+z3= 3xyz)
ONLY WHEN FACTORISATION
1	x3+ y3		=	(x+y)(x2-xy+y2)
2	x3-y3		=	(x-y)(x2+xy+y2)
				NOTE: When a Number or a Variable
				Moves, it Moves Along with it's
				Sign (+,-)

 

PERCENTAGE
1	Percentage Change (PC)	=	New Value (NV) - Original Value(OV) / Original Value (OV)
2	Rate of Discount	=	Discount / Marked Price X 100
3	Net Selling Price	=	Marked Price - Discount
4	Profit Percentage	=	Profit / Cost Price X 100
5	Loss Percentage	=	Loss / Cost Price X 100
6	Selling Price	=	If Profit; Cost Price + (Cost Price X Profit% / 100)
		=	If Loss; Cost Price - (Cost Price X Loss% / 100)
7	Cost Price	=	If Profit; Selling Price - (Cost Price X Profit% / 100)
		=	If Loss; Selling Price + (Cost Price X Loss% / 100)