Subject: Mathematics
Book: Maths Mastery
Factoring out the greatest common factor (GCF) is a fundamental technique to simplify expressions and solve equations. Suppose you have 6x² + 9x; the GCF is 3x. Factoring yields 3x(2x + 3). This step often precedes more complex factoring methods like grouping or the difference of squares. By extracting the GCF, you reduce expressions to simpler forms, streamline solutions, and clarify how individual terms relate. This skill is vital in advanced algebra, polynomial arithmetic, and a variety of real-life applications that demand systematic problem decomposition.
A 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 QuestionIf 3x = 81, what is the value of x?
View QuestionIf 8x = 512, what is the value of x?
View QuestionWhat is the probability of drawing an ace from a standard deck of 52 cards?
View QuestionIf log(100) = 2 and log(10) = 1, what is log(1000)?
View QuestionIf x + 1/x = 5, what is the value of x^2 + 1/x^2?
View QuestionIf x:y = 2:3 and z:y = 4:3, what is x:z?
View QuestionIf a person can type 45 words per minute, how many words can they type in 2 hours?
View QuestionWhat is the remainder when 5^100 is divided by 3?
View Question