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.
What is the probability of drawing an ace from a standard deck of 52 cards?
View QuestionWhat is the cube root of 729?
View QuestionIf a square has a perimeter of 64 cm, what is its area?
View QuestionWhat is the sum of all even numbers between 1 and 100?
View QuestionIf a:b = 2:3 and b:c = 4:5, what is a:c?
View QuestionA car covers a distance of 150 km in 2.5 hours. What is its average speed?
View QuestionA man invests Rs. 5000 at 5% per annum simple interest. What is the total amount after 3 years?
View QuestionThe angles of a quadrilateral are in the ratio 3:4:5:6. What is the largest angle?
View QuestionIf the probability of an event is 1/4, what is the probability of its complement?
View QuestionIf x^2 - 5x + 6 = 0, what are the roots?
View Question