دالجبرفورمولونه رته په انګلیسی ولیکه

Here are some common algebra formulas:

• Commutative Property of Addition: $a + b = b + a$
• Commutative Property of Multiplication: $a \cdot b = b \cdot a$
• Associative Property of Addition: $(a + b) + c = a + (b + c)$
• Associative Property of Multiplication: $(a \cdot b) \cdot c = a \cdot (b \cdot c)$
• Distributive Property: $a(b + c) = ab + ac$
• Difference of Squares: $a^2 - b^2 = (a - b)(a + b)$
• Perfect Square Trinomial (Addition): $(a + b)^2 = a^2 + 2ab + b^2$
• Perfect Square Trinomial (Subtraction): $(a - b)^2 = a^2 - 2ab + b^2$
• Sum of Cubes: $a^3 + b^3 = (a + b)(a^2 - ab + b^2)$
• Difference of Cubes: $a^3 - b^3 = (a - b)(a^2 + ab + b^2)$
• Quadratic Formula: For an equation of the form $ax^2 + bx + c = 0$, the solutions for $x$ are: $x = \frac{-b \pm \sqrt{b^2 - 4ac}}{2a}$
• Exponent Rule (Product): $x^m \cdot x^n = x^{m+n}$
• Exponent Rule (Quotient): $\frac{x^m}{x^n} = x^{m-n}$
• Exponent Rule (Power of a Power): $(x^m)^n = x^{mn}$