Subject: Mathematics
Book: Maths Mastery
To reduce or simplify algebraic fractions, factor both numerator and denominator completely, then cancel common factors, ensuring they are non-zero in the original domain. For example, (x²–1)/(x²–x–2) factors to (x–1)(x+1)/(x–2)(x+1). Cancel (x+1) for x≠–1, leaving (x–1)/(x–2). This process is identical to fraction simplification but extended to polynomials. Mastery enables you to handle advanced rational expressions in calculus integrals, partial fractions, and engineering equations that combine polynomial-based denominators and numerators for streamlined analysis.
If the perimeter of a square is 36 cm, what is the length of its diagonal?
View QuestionIf x - y = 5 and x + y = 15, what is the value of x?
View QuestionIf x:y = 2:3 and z:y = 4:3, what is x:z?
View QuestionIf sin(A) = 3/5 and cos(B) = 5/13, where A and B are acute angles, what is sin(A+B)?
View QuestionA square is inscribed in a circle with a radius of 5 cm. What is the area of the square?
View QuestionWhat is the area of an equilateral triangle with side length 10 cm?
View QuestionIf a+b = 10 and ab = 21, what is the value of (a-b)^2?
View QuestionIf sin(x) = 3/5 and x is in the first quadrant, what is cos(x)?
View QuestionThe LCM of two numbers is 60, and their HCF is 5. If one of the numbers is 20, what is the other number?
View QuestionIf a square has a perimeter of 64 cm, what is its area?
View Question