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#hcf #hcfandlcm Assalam o Alaikum students! Javed Asghar is here for you, Solving Mathematical problems through this channel for 9th, 10th and inter classes. I'll discuss HCF of given algebraic expressions here for you such that how to get highest common factor of an algebraic expression. Here I'm going through Ex 6.1 Question 1 and Question 2 of 9th class Mathematics. In layman's terms, what is math? Mathematics is the study of numbers, forms, logic, quantities, and arrangements. Mathematics teaches students how to solve issues using numerical calculations and find solutions. Who is the originator of mathematics? Archimedes Who exactly is Archimedes? Archimedes, the great Greek mathematician and philosopher, is regarded as the Father of Mathematics. Perhaps you've heard of the Archimedes' Principle, which is named after the great philosopher and is widely studied in Physics. What are the four kinds of math? Algebra, number theory, geometry, and arithmetic are the four main branches of mathematics. What is the meaning of math? What is math image result Mathematics is derived from the Ancient Greek máthma (), which means "that which is learned," "what one learns," and thus "study" and "science." Even in Classical times, the term "mathematics" began to acquire the narrower and more technical meaning "mathematical study." What is HCF? How can you find HCF? Highest Common Factor (HCF) of two numbers is the greatest factor that is common to both of them To find the greatest common divisor of the given numbers or for algebraic expressions we have to follow the steps. Step 1 : List the prime factors of each of the given number. For algebraic expression we have to find factors of them. Step 2 : List the common factors of the given numbers or common factors. Step 3 : Multiply those common factors. What exactly is math study? The study of quantity, structure, space, and change is known as mathematics. As abstract as it may appear, math is fundamentally a search for absolutes, definitive solutions, and answers. What is the significance of math? Mathematics is an excellent tool for developing mental discipline and for encouraging logical reasoning and mental rigors. Furthermore, mathematical knowledge is essential for comprehending the contents of other school subjects such as science, social studies, and even music and art. Who invented mathematics? Image outcome The earliest evidence of written mathematics can be traced back to the Sumerians, who established the first civilization in Mesopotamia. From 3000 BC, they developed a complex system of metrology. What role does arithmetic play in our lives? Mathematics organizes and prevents chaos in our lives. Mathematics fosters reasoning power, creativity, abstract or spatial thinking, critical thinking, problem-solving ability, and even effective communication skills. What is HCF of an algebraic expression? How can we find HCF of an algebraic expression? Which math is the most difficult? Image outcome Most Difficult Mathematics Types 1. Algebra: Algebra is the study of symbols and the rules that govern how they are used in mathematics. What is algebraic expression ? Algebraic expressions are the idea of expressing numbers using letters or alphabets without specifying their actual values. The basics of algebra taught us how to express an unknown value using letters such as x, y, z, etc. These letters are called here as variables. An algebraic expression can be a combination of both variables and constants. Any value that is placed before and multiplied by a variable is a coefficient. What are general Algebraic Formulas? The general algebraic formulas we use to solve the expressions or equations are: (a + b)^2 = a^2 + 2ab + b^2 (a – b)^2 = a^2 – 2ab + b^2 a^2 – b^2 = (a – b)(a + b) (a + b)^3 = a^3 + b^3 + 3ab(a + b) (a – b)^3 = a^3 – b^3 – 3ab(a – b) a^3 – b^3 = (a – b)(a^2 + ab + b^2) a^3 + b^3 = (a + b)(a^2 – ab + b^2) Example: Factorisation of x^2 – 4 is (x – 2) (x + 2). It means both (x- 2) and (x + 2) are the factors of x^2 – 4. @javedasghar910 @Hasnainzafar910 @sajjadali84 @MathematicsClassIX