BODMAS Algebra Calculator

Enter any algebraic expression and get a step-by-step BODMAS solution instantly.

Expression Evaluator

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How BODMAS Algebra Calculator Works

BODMAS Algebra Calculator works by parsing algebraic expressions, substituting variable values, and evaluating the result following the BODMAS order of operations in 4 steps — Brackets, Orders, Division/Multiplication, Addition/Subtraction.

Enter an algebraic expression using standard notation: 2x + 3y, (a+b)², or 4a/2b. The calculator identifies variables, applies substitution, and solves each step in BODMAS sequence.

BODMAS Algebra Calculator supports parentheses, exponents, and all 4 arithmetic operators. The calculator treats implicit multiplication (2x = 2×x) and shows the evaluation order for each step.

Algebraic BODMAS Example
✓ Step-by-Step
3x² + 2x − 5 (x=4)
1. Substitute: 3(4)² + 2(4) − 5
2. Exponent: 4² = 16
3. Multiply: 3×16=48, 2×4=8
4. Add/Sub: 48+8−5 = 51
= 51 ✓

BODMAS Algebra Formula

The BODMAS Algebra formula processes algebraic expressions by applying 6 priority levels — from innermost brackets to final addition/subtraction.

BODMAS Priority Levels
🔲
Brackets (B)
Solve innermost parentheses first: (a+b)×c
xⁿ
Orders (O)
Evaluate exponents and roots: x², √y
÷×
Division / Multiplication
Process left to right: 6x÷3 = 2x
+−
Addition / Subtraction
Process left to right: 2x+3y−z

BODMAS and PEMDAS produce identical results. PEMDAS (Parentheses, Exponents, Multiplication, Division, Addition, Subtraction) is the American term. BODMAS (Brackets, Orders, Division, Multiplication, Addition, Subtraction) is the British/international term.

BODMAS Algebra Conversions Chart

The BODMAS Algebra conversions chart shows 10 common algebraic notation conversions between standard math notation and calculator input format.

Algebraic Notation Reference
Math NotationCalculator InputMeaning
2x2*x2 multiplied by x
x²x^2x raised to power 2
√xx^(1/2) or sqrt(x)Square root of x
x/yx/yx divided by y
(a+b)²(a+b)^2Sum squared
|x|abs(x)Absolute value
3xy3*x*yProduct of 3, x, y
a²−b²a^2-b^2Difference of squares = (a+b)(a−b)
x⁻¹1/xReciprocal of x
πr²3.14159*r^2Area of circle formula

Algebra FAQ

Common questions about BODMAS/PEMDAS in algebra.

BODMAS sets the hierarchy: Brackets first, Orders (exponents) second, Division & Multiplication third (left to right), and Addition & Subtraction last (left to right).
Orders (exponents) have higher priority than multiplication. First 3²=9, then 2×9=18.
Substitute values for variables first, then follow the standard BODMAS sequence to evaluate.
Yes. Parentheses=Brackets, Exponents=Orders. The mathematical rules are identical; only terminology differs.