Algebra is one of the major parts of Mathematics in which general symbols and letters are used to represent quantities and numbers in equations and formulae. The more basic parts of algebra are called elementary algebra and more abstract parts are called modern algebra or abstract algebra. Algebra is very important as it includes everything from elementary equation solving to the study of abstractions such as rings, groups and fields.
List of Algebra Formulas for Class 8
Algebraic expressions and algebraic identities for class 8 are introduced in CBSE. This is a little tricky chapter where one need to learn all the formulae and apply them accordingly. To make easy for them, we at BYJU’S provide them with all formula in a single page. We believe, algebra formulas and algebraic identities for class 8 are provided here. These formulas will help students to learn quickly and have a quick glance when needed.
Algebraic Identities For Class 8
- (a + b)2 = a2 + 2ab + b2
- (a – b)2 = a2 – 2ab + b2
- (a + b)(a – b) = a2 – b2
- (a + b)3 = a3 + 3a2b + 3ab2 + b3
- (a – b)3 = a3 – 3a2b + 3ab2 – b3
- a3 + b3 = (a + b)(a2 – ab + b2)
- a3 – b3 = (a – b)(a2 + ab + b2)
- (a + b + c)2 = a2 + b2 + c2 + 2ab + 2bc + 2ca
Some of the common laws of exponents with the same bases having different powers, and different bases having the same power, are useful to solve complex exponential terms. The higher exponential values can be easily solved without any expansion of the exponential terms. These exponential laws are further useful to derive some of the logarithmic laws.
- am. an = am + n
- am/an = am – n
- (am)n = amn
- (ab)m = am. bm
- a0 = 1
- a-m = 1/am
Each of these laws has a specific name. Take a look at the figure below:
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