Subject: Mathematics
Book: Maths Mastery
Sum of cubes a³ + b³ factors into (a + b)(a² – ab + b²), while difference of cubes a³ – b³ factors into (a – b)(a² + ab + b²). For instance, x³ – 8 = (x – 2)(x² + 2x + 4). These patterns appear frequently in polynomial algebra and advanced factorization tasks. You’ll see them in integral calculus (factoring integrands), economic models (cubic cost functions), and more. Knowing how to handle sums/differences of cubes fosters swift resolution of higher-order polynomial problems.
If x^2 + 4x + 4 = 0, what is the value of x?
View QuestionIf x^3 - 3x^2 + 4 = 0, what is one root of the equation?
View QuestionWhat is the area of a circle with a diameter of 14 cm?
View QuestionIf a:b = 2:3 and b:c = 4:5, what is a:c?
View QuestionA man spends 75% of his income and saves Rs. 600. What is his total income?
View QuestionWhat is the probability of drawing a king from a standard deck of 52 playing cards?
View QuestionA number is increased by 20% and then decreased by 20%. What is the net change?
View QuestionIf a+b = 10 and ab = 21, what is the value of a^3 + b^3?
View QuestionThe probability of getting an even number when rolling a die is:
View QuestionThe perimeter of a rectangle is 40 cm, and its length is 12 cm. What is its width?
View Question