Subject: Mathematics
Book: Maths Mastery
Rational expressions like (2x+3)/(x²–x–2) can often be decomposed into simpler fractions. First factor the denominator (x²–x–2= (x–2)(x+1)), then express (2x+3)/( (x–2)(x+1) )= A/(x–2)+ B/(x+1). Solve for A and B by equating numerators. Partial fractions simplify integration, advanced calculus, or solving differential equations. This method also clarifies rational function structures in engineering or physics. Mastering partial fractions fosters powerful manipulations and easier expansions in multi-step algebraic or analytic tasks.
A train 150 m long passes a pole in 15 seconds. What is its speed?
View QuestionIf a:b = 5:7 and b:c = 6:11, what is a:c?
View QuestionThe probability of rolling a sum of 7 with two dice is:
View QuestionWhat is the value of x if 3x + 7 = 16?
View QuestionA sum triples in 20 years at simple interest. What is the rate of interest per annum?
View QuestionIf a rectangle has a length of 10 cm and a width of 6 cm, what is its perimeter?
View QuestionIf a:b = 2:3 and b:c = 4:5, what is a:c?
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 QuestionIf the perimeter of a square is 40 cm, what is the area of the square?
View QuestionIf 2x = 16, what is the value of x?
View Question