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Some Useful Algebra Formulas
Just remembering Algebra (math) formulas are not going to help you to crack any examinations, one should have the ability to execute these formulas in the exam hall. To do that, one has to practice the various types of algebraic math problems repeatedly.
Some Important Formulas of Algebra
Square Formula
01
(x+y)2 = (x+y)(x+y) = x2+2xy+y202
(x-y)2 = (x-y)(x-y) = x2-2xy+y203
(x+y)2 = (x-y)2 + 4xy04
(x-y)2 = (x+y)2 – 4xy05
x2-y2 = (x+y)(x+y)06
(x + y + z)2 = x2 + y2 + z2 + 2xy + 2xz + 2yx07
4xy = [ (x+y)2 – (x-y)2 ]08
2( x2+y2) = [ (x+y)2 + (x-y)2 ]
Cube Formula
01
(x + y)3 = x3 + 3x2y + 3xy2 + y302
(x + y)3 = x3 + y3 + 3xy(x + y)03
(x – y)3 = x3 – 3x2y + 3xy2 – y304
(x – y)3 = x3 – y3 – 3xy(x – y)05
x3 + y3 = (x + y)(y2 – xy + y2)06
x3 – y3 = (x – y)(x2 + xy + y2)07
(x + y)4 = x4 + 4x3y + 6x2Advertisement08
(x – y)4 = x4 – 4x3y + 6x2y2 – 4xy3 + y4)09
x4 – y4 = (x2 + y2)(x + y) (x – y)10
x3 + y3 + z3 – 3xyz = (x + y + z)( x2 + y2 + z2 -xy – yz – zx)
Laws of Exponent
01
xm × xn = xm+n02
xm / xn = xm-n03
(xy)m = xm × ym04
(xm)n = xmn05
xm = (1/x-m)06
x0 = 107
√x = x½08
³√x = x¹/³
‘Quadratic Formula :
01
If a Quadratic Equation is ax2 + bx + c = 0 ; Then the roots of this equation are –
The formula of Irrational number
Download Algebra Formulas PDF
Algebra Formulas are very important for mathematics as well as science. If you are an aspirant of competitive exams like SSC, CGL, Rail NTPC, Police, Defence, etc. then you should remember all the formulas.
Also if you are a student of class 7, class 8, class 9 or class 10, then you definitely remember these formulas of Algebra.