Algebra Formula

Algebra is a branch of Mathematics that substitutes letters for numbers. The numbers are constants. Algebra also includes real numbers, complex numbers, matrices, vectors and much more.  X, Y, A, B are the most commonly used letters that represent the algebraic problems and equation 1/b. 

Important Formulas in Algebra

Real Numbers : a, b, c, x, y, z Natural Number : n, m

Factoring Formula

Factoring Formula

Factoring Formula

Factoring Formula

Factoring Formula

Practice Problem

1. Find value of (3 + 7)^2 Solution:  Using formula  (a + b)^2 = a^2 + b^2 + 2ab (3 + 7)^2 = 3^2 + 7^2 + 2(3)(7) = 9 + 49 + 42 = 100

Practice Problem

2. Find the value of  (5 + 4 − 3)^2 Solution:  Using formula (a+b+c)^2=a^2 + b^2 + c^2 + 2ab + 2ac + 2bc = (5 + 4 + (-3))^2 = 5^2 + 4^2 + (-3)^2 + 2*5*4 + 2*5*(-3) + 2*4*(-3) = 25 + 16 + 9 + 40 – 30 – 12 = 48

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