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This Simplification question develops accurate interpretation and stepwise calculation for “Simplify: 75 x 75 - 25 x 25”. The explanation preserves the original mathematical conditions, verifies 5000, and identifies common errors involving signs, brackets, operation order, factors, remainders or fraction handling. The verified result is 5000.
The verified answer is 5000, option B. The question-specific working recorded with the item is: Applying BODMAS to 75 x 75 - 25 x 25 gives 5000.. The distractors 4950, 5050, 5100 may arise from changing the order of operations, mishandling a negative sign, using an incorrect reciprocal, ignoring a divisibility condition, or rounding an exact value.
FAQ
Common questions and clear answers for this topic.
Apply BODMAS: brackets, orders, division and multiplication from left to right, then addition and subtraction.
5000, option B.
Changing operation order, losing a sign, or simplifying a factor where cancellation is invalid.
Substitute it back, estimate its magnitude, or recompute using an equivalent form.
Simplification involves solving mathematical expressions using BODMAS rule. BODMAS stands for: Brackets, Orders (powers and roots), Division, Multiplication, Addition, Subtraction. The rule determines the order in which operations are performed. Simplification is a major topic in SSC CGL Tier 1, IBPS Clerk, SBI Clerk, Railway Group D, and all competitive exams.
Important properties for Simplification: Squares up to 30, Cubes up to 15, Square roots of perfect squares up to 400, Multiplication tables up to 20. Also remember: a squared - b squared = (a+b)(a-b), (a+b) squared = a squared + 2ab + b squared, (a-b) squared = a squared - 2ab + b squared, a cubed + b cubed = (a+b)(a squared - ab + b squared). Memorizing these speeds up simplification in exams.
