By Formulas of Algebra: বীজগণিতের সূত্র।
Formulas of Algebra: বীজগণিতের সূত্র।
Algebra involves various formulas and equations. Here are some fundamental algebraic formulas:
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1. **Quadratic Formula**:
– For solving quadratic equations: ax^2 + bx + c = 0
– x = (-b ± √(b^2 – 4ac)) / 2a
2. **Slope-Intercept Formula**:
– Represents the equation of a line: y = mx + b
– ‘m’ is the slope, and ‘b’ is the y-intercept.
3. **Distance Formula**:
– Calculates the distance between two points (x1, y1) and (x2, y2) in a Cartesian plane.
– d = √((x2 – x1)^2 + (y2 – y1)^2)
4. **Quadratic Functions**:
– The general form is y = ax^2 + bx + c.
5. **Exponent Rules**:
– Laws for simplifying expressions with exponents, such as a^m * a^n = a^(m+n).
6. **Logarithmic Properties**:
– Rules for working with logarithms, like log(ab) = log(a) + log(b).
7. **Polynomial Long Division**:
– For dividing one polynomial by another.
8. **Binomial Theorem**:
– Expands expressions of the form (a + b)^n.
These are just a few basic algebraic formulas. Algebra encompasses a wide range of equations and operations, and more specific formulas are used for different types of problems.
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