subration of algebra Related: What is Algebra??
Subtraction of algebraic expressions is subtracting one expression from another expression.
Follow the below-listed steps to Subtract Algebraic Expressions and arrive at the solution easily. They are along the lines
1. Write the given expressions in standard form.
2. After that arrange one expression under another expression with the like terms come in the same column.
3. The main part of the subtraction of algebraic expressions is changing the sign of every individual term of the second expression to get the inverse of the expression.
4. Lastly, add the like terms and get the final expression.
Example: Subtract 4x + 2y – 4z from 10x – 6y + 2z
Solution:
Note down both given expressions and rearrange them if required.
10x – 6y + 2z = 10x – 6y + 2z
4x + 2y – 4z = 4x + 2y – 4z
Write both expressions one below another such that the expressions will subtract each other with the like terms come in the same column.
10x – 6y + 2z
4x + 2y – 4z
Change the signs of each term available in the second row and fins the inverse of the second expression.
4x + 2y – 4z = -(4x + 2y – 4z) = – 4x – 2y + 4z
Add the like terms by arranging two expressions in columns to get the final expression.
10x – 6y + 2z
– 4x – 2y + 4z
6x – 8y + 6z
This question is part of UPSC exam. View all Class 6 courses
subration of algebra Related: What is Algebra??
What is Algebra?
Algebra is a branch of mathematics that deals with symbols and the rules for manipulating these symbols. It involves representing numbers using letters and symbols to solve equations and study mathematical structures.
Key Points:
- Algebra helps us solve real-life problems by using variables to represent unknown quantities.
- It involves operations such as addition, subtraction, multiplication, division, and exponentiation.
- Algebraic expressions consist of constants, variables, and mathematical operations.
- Equations in algebra are statements that show the equality of two expressions.
- Algebra is used in various fields such as science, engineering, economics, and computer science.
Importance of Algebra:
Algebra is a fundamental skill in mathematics that helps in developing problem-solving skills and logical thinking. It is essential for understanding more advanced mathematical concepts and is used in various professions that require analytical thinking and problem-solving abilities.
Key Points:
- Algebra helps in analyzing patterns and relationships between quantities.
- It is used to solve equations and inequalities to find unknown values.
- Algebraic reasoning is crucial for making predictions and decisions based on data.
- It provides a foundation for learning higher-level mathematics such as calculus and linear algebra.
In conclusion, algebra is a vital branch of mathematics that plays a significant role in various aspects of our daily lives and is essential for academic and professional success. Mastering algebraic concepts can enhance problem-solving abilities and critical thinking skills.
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