Question

Subtract 6x² - 7y² +6y - 5 from 7xy - 11x² + 8y² + 3x -5y​

Answer 1

Question:

• Subtract: 6x² - 7y² + 6y - 5 from 7xy - 11x² + 8y² + 3x - 5y

Solution:

(7xy - 11x² + 8y² + 3x - 5y) - (6x² - 7y² + 6y - 5)

After opening the brackets, we get:

7xy - 11x² + 8y² + 3x - 5y - 6x² + 7y² - 6y + 5

After arranging like terms together, we get:

7xy - 11x² - 6x² + 8y² + 7y² + 3x - 5y - 6y + 5

Now on solving further, we get:

7xy - 17x² + 15y² + 3x - 11y + 5

Hence, the required answer is 7xy - 17x² + 15y² + 3x - 11y + 5.

Extra Information:

• Constant is a symbol having a fixed numerical value.

Eg - 5, 6, 7, etc.

• Variable is a symbol which takes various numerical value.

Eg - x, n, y, etc.

• Algebraic Expressions is a combination of constants and variables connected by some or all of the four fundamental operators. Eg - x² - x²y³ + 10.
• There are 5 types of algebraic expressions. They are:

1. Monomials - Algebraic Expression which contains only one term.
2. Binomials - Algebraic Expression which contains two terms.
3. Trinomials - Algebraic Expression which contains three terms.
4. Quadrinomials - Algebraic Expression which contains four terms.
5. Polynomials - Algebraic Expression which contains two or more terms.