# Write an expression in terms of x and y

### Writing basic expressions with variables

The term —3xy is a product of the factors —3, x and y. The second term in this expression is the number 2. The above expressions were obtained by combining variables with constants. It is also said to be the coefficient of the rest of the term which is obviously the product of algebraic factors of the term. They have parts which are formed separately and then added. It is commonly read as x squared. There are examples of the ancient Egyptians working with algebra. Factors are the separate parts of a multiplication. Similarly, 10y — 20 is obtained by first multiplying y by 10 and then subtracting 20 from the product. Chinese and Indian authors wrote extensively on algebraic ideas and achieved a great deal in the solution of equations. Consider this expression: xy The above, of course, is a multiplication of x times y. It is said to be the coefficient of the product of the remaining factors. Answer: 1 , 10 and 38 measures. Arab and Persian mathematicians had an interest in algebra and their ideas flowed into Europe. Here we first formed 3x2 separately as a product of 3, x and x.

The first factor is c. Terms are added to form expressions.

It is considered one of the three greatest scientific treatises of the Renaissance. The book included the solutions to the cubic and quartic equations. Here we first formed 3x2 separately as a product of 3, x and x.

### Writing basic expressions with variables

In other words, powers are considered single factors. For example, 1x is written as x; 1 x2y2 is written as x2y2 and so on. However, algebra has a very long history. We say that it has two terms, 4x2 and —3xy. It is considered one of the three greatest scientific treatises of the Renaissance. Here we first formed 3x2 separately as a product of 3, x and x. Development of algebraic notation Here are some of the different notations used from the Middle Ages onwards together with their modern form. Fibonacci was the greatest European writer on algebra during the middle ages and his work Liber Quadratorum circa AD includes many different ingenious ways of solving equations. In the term 10xyz, 10 is the coefficient of xyz, in the term —7x2y2, —7 is the coefficient of x2y2. Thus in 5xy, 5 is the coefficient of the term.

In the term 10xyz, 10 is the coefficient of xyz, in the term —7x2y2, —7 is the coefficient of x2y2. When you have studied this Chapter, you will know how algebraic expressions are formed, how they can be combined, how we can find their values and how they can be used How are expressions formed?

There are examples of the ancient Egyptians working with algebra. From 3x2, we subtract 5 to finally arrive at 3x2 — 5.

Let's also look at the second factor of the first term.

Similarly, 10y — 20 is obtained by first multiplying y by 10 and then subtracting 20 from the product. Examples of constants are: 4,—17, etc. The factors are such that they cannot be further factorised.

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