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Algebra Formulas

Algebra formulas pdf are provided below to help learners understand the concept more effectively. Learning formulas is very important when it comes to mathematics. The linear algebra pdf, vector algebra pdf, mensuration formulas pdf, etc. are given here so that students can learn the respective algebra topics in an interesting and easy manner. The algebra pdf will let students get all the formulas of algebra with just one click.

Along with algebra formulas pdf maths, mensuration formulas pdf is also provided below. The vector algebra pdf and linear algebra pdf are very useful for students before their exam. They can revise all the math formulas with just one click which will save them a lot of time.

Algebra Formulas from Class 8 to Class 12 Algebra Formulas For Class 8 Algebra Formulas For Class 9 Algebra Formulas For Class 10 Algebra Formulas For Class 11 Algebra Formulas For Class 12
Here is a list of Algebraic formulas
            • a2 – b2 = (a – b)(a + b)
            • (a+b)2 = a2 + 2ab + b2
            • a2 + b2 = (a – b)2 + 2ab
            • (a – b)2 = a2 – 2ab + b2
            • (a + b + c)2 = a2 + b2 + c2 + 2ab + 2ac + 2bc
            • (a – b – c)2 = a2 + b2 + c2 – 2ab – 2ac + 2bc
            • (a + b)3 = a3 + 3a2b + 3ab2 + b3 ; (a + b)3 = a3 + b3 + 3ab(a + b)
            • (a – b)3 = a3 – 3a2b + 3ab2 – b3
            • a3 – b3 = (a – b)(a2 + ab + b2)
            • a3 + b3 = (a + b)(a2 – ab + b2)
            • (a + b)3 = a3 + 3a2b + 3ab2 + b3
            • (a – b)3 = a3 – 3a2b + 3ab2 – b3
            • (a + b)4 = a4 + 4a3b + 6a2b2 + 4ab3 + b4)
            • (a – b)4 = a4 – 4a3b + 6a2b2 – 4ab3 + b4)
            • a4 – b4 = (a – b)(a + b)(a2 + b2)
            • a5 – b5 = (a – b)(a4 + a3b + a2b2 + ab3 + b4)
            • If n is a natural number, an – bn = (a – b)(an-1 + an-2b+…+ bn-2a + bn-1)
            • If n is even (n = 2k), an + bn = (a + b)(an-1 – an-2b +…+ bn-2a – bn-1)
            • If n is odd (n = 2k + 1), an + bn = (a + b)(an-1 – an-2b +…- bn-2a + bn-1)
            • (a + b + c + …)2 = a2 + b2 + c2 + … + 2(ab + ac + bc + ….
            • Laws of Exponents
              (am)(an) = am+n
              (ab)m = ambm
              (am)n = amn
            • Fractional Exponents
              a0 = 1
              $\frac{a^{m}}{a^{n}} = a^{m-n}$
              $a^{m}$ = $\frac{1}{a^{-m}}$
              $a^{-m}$ = $\frac{1}{a^{m}}$

Solved Examples

Question 1: Find out the value of 52 – 32
Solution:
Using the formula a2 – b2 = (a – b)(a + b)
where a = 5 and b = 3
(a – b)(a + b)
= (5 – 3)(5 + 3)
= 2 $\times$ 8
= 16

Question 2:
43 $\times$ 42 = ?
Solution:
Using the exponential formula (am)(an) = am+n
where a = 4
43 $\times$ 42
= 43+2
= 45
= 1024
More topics in Algebra Formulas
Factoring Formulas Percentage Formula
Ratio Formula Matrix Formula
Exponential Formula Polynomial Formula
Standard Form Formula Direction of a Vector Formula
Interpolation Formula Sequence Formula
Direct Variation Formula Inverse Variation Formula
Equation Formula Series Formula
Function Notation Formula Foil Formula
Factoring Trinomials Formula Associative Property
Distributive Property Commutative Property
Complex Number Formula Profit Margin Formula
Gross Profit Formula Sum of Cubes Formula
Magnitude of a Vector Formula

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