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): $$(x^m)^n = x^{mn}$$