Topic Details (Notes format)

How to Add and Subtract Rational Expressions

Subject: Mathematics

Book: Maths Mastery

Adding and subtracting rational expressions parallels fraction operations: find a common denominator, combine numerators, and simplify. For instance, (x/(x + 2)) – (3/(x – 4)) requires an LCM of (x + 2)(x – 4). The resulting expression might then factor or simplify further. Keeping track of restricted values (where denominators are zero) is essential. This skill is key in advanced algebra, engineering formulas, or any scenario mixing polynomial-based rates. Building fluency ensures complex expressions don’t overwhelm you, allowing deeper exploration of functional relationships.

Practice Questions

If the perimeter of a square is 40 cm, what is the area of the square?

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What is the value of log₃(27)?

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If 3x = 81, what is the value of x?

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A sum triples in 20 years at simple interest. What is the rate of interest per annum?

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A man invests Rs. 5000 at 5% per annum simple interest. What is the total amount after 3 years?

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The base of a triangle is 10 cm and its height is 6 cm. What is its area?

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What is the value of x if 3x + 7 = 16?

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What is the sum of the first 50 positive integers?

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What is the HCF of 48 and 180?

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The sides of a triangle are 13 cm, 14 cm, and 15 cm. What is its area?

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