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.
If the radius of a circle is doubled, what happens to its area?
View QuestionHow many diagonals does a pentagon have?
View QuestionIf x + 1/x = 5, what is the value of x^2 + 1/x^2?
View QuestionA train 120 meters long is moving at a speed of 54 km/h. How long will it take to pass a pole?
View QuestionWhat is the area of a sector of a circle with radius 14 cm and central angle 90°?
View QuestionIf a:b = 3:4 and b:c = 5:6, what is a:c?
View QuestionWhat is the area of an equilateral triangle with side length 10 cm?
View QuestionWhat is the sum of the first 20 odd numbers?
View QuestionIf the product of two numbers is 120 and their sum is 26, what are the numbers?
View QuestionIf the sum of the angles of a polygon is 1080°, how many sides does the polygon have?
View Question