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What is the division of algebraic expressions?
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Division of two algebraic expressions or variable expressions involves taking out of common terms and canceling them out. These common terms either include constants, variables, terms, or just coefficients. In this article, let us learn about the rules of dividing different types of algebraic expressions with solved examples.
Division is one of the four basic operations of arithmetic. The other operations are addition, subtraction, and multiplication. What is being divided is called the dividend, which is divided by the divisor, and the result is called the quotient.
Replace the division sign (÷) with the multiplication sign (x) and find the reciprocal of the second fraction. Reduce the fraction if possible. Now rewrite the remaining factor. Example 1. Divide 4x/3 ÷ 7y/2. Solution. 4x/3 ÷ 7y/2 = 4x/3 * 2/7y =8x/21y Example 2. Divide ((x + 3) / 2x 2) ÷ (4 / 3x) Solution
Perform the division of algebraic operation, (7a 2 + 14a) ÷ (a + 2) = [7a(a+2)] / (a+2) Cancel out (a+2) from both numerator and denominator, we get the solution for the division of an algebraic expression. Thus, (7a 2 + 14a) ÷ (a + 2) = 7a. Division of Algebraic Expression Practice Problems. Solve the problems given below:
Jan 24, 2023 · Division of Algebraic Expressions: Definition, Terms, Types. Algebraic expressions are the combination of variables and constants connected by the four fundamental arithmetic operations such as addition, subtraction, multiplication, and division.
Writing Division Expressions. These lessons, with videos, examples and step-by-step solutions, help Grade 6 students write numerical expressions in two forms, and the relationship between the two. Lesson Plans and Worksheets for Grade 6. Lesson Plans and Worksheets for all Grades.
Learning Objectives. After completing this section, you should be able to: Convert between written and symbolic algebraic expressions and equations. Simplify and evaluate algebraic expressions. Add and subtract algebraic expressions. Multiply and divide algebraic expressions.
