Subject: Mathematics
Book: Maths Mastery
Multiplying rational expressions involves factoring numerators and denominators, then canceling common factors before multiplying across. Dividing is done by multiplying by the reciprocal of the divisor. For example, (x + 1)/(x – 2) ÷ (x² – 4)/(x + 1) becomes (x + 1)/(x – 2) × (x + 1)/(x² – 4). With x² – 4 factoring to (x – 2)(x + 2), you might simplify significantly. These operations underlie advanced algebraic manipulations, from partial fraction decomposition to real-world rate adjustments. Consistent practice fosters ease with fractional polynomials, bridging the gap to calculus and mathematical modeling.
A sum of money doubles itself in 5 years at simple interest. What is the rate of interest?
View QuestionWhat is the cube of 4?
View QuestionA triangle has angles 60°, 60°, and 60°. What type of triangle is it?
View QuestionIf sin(θ) = 0.6 and θ is acute, what is cos(θ)?
View QuestionIf the sides of a triangle are 6 cm, 8 cm, and 10 cm, what is the area of the triangle?
View QuestionA rectangle has a length of 10 cm and a width of 5 cm. What is the diagonal of the rectangle?
View QuestionA train 150 m long passes a pole in 15 seconds. What is its speed?
View QuestionWhat is the LCM of 15 and 20?
View QuestionIf the length of a rectangle is doubled and the width is halved, what is the change in area?
View QuestionThe sides of a triangle are 13 cm, 14 cm, and 15 cm. What is its area?
View Question