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Finding the Factoring of Binomial 36x^2-81y^2 by Difference of Squares

Created By : Rina Nayak

Reviewed By : Rina Nayak

Last Updated : Apr 18, 2023

The Factorising Calculator is specially designed for factorization and will help you in finding the Factoring 36x^2-81y^2 by Difference of Squares. It will provide the solution for the equation and find the factors by using the Difference of Squares method in some easy steps. In this article, You will get the factors for 36x^2-81y^2 in quick and detailed steps.

Ex: a^2-b^2 (or) a^8-b^8 (or) a^4-b^4

Use '^' for exponent

Factor Binomial as difference of square

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Detailed Solution for Finding the Factoring of Binomial 36x^2-81y^2 using Difference of Square

Given equation is 36x^2-81y^2

Convert the equation into the form of a² - b²

So, 36x^2-81y^2 = 9((2x)²-(3y)²)

The difference of squares formula is a² - b² = (a + b)(a - b)

After substituting the values in the formula

9((2x)²-(3y)²)

=(2 x+3 y)(2 x-3 y)

Therefore, the factors for the equation 36x^2-81y^2 are 9 and (2 x+3 y)(2 x-3 y)

FAQs on Factoring Binomial of 36x^2-81y^2 by Difference of Squares

1. How do you find the factor of the difference of two squares?

When an expression can be viewed as the difference between two perfect squares, i.e. a²-b², then we can factor it as (a+b)(a-b). For example, x²-25 can be factored as (x+5)(x-5). This method is based on the pattern (a+b)(a-b)=a²-b², which can be verified by expanding the parentheses in (a+b)(a-b).

2. What is the Factoring of Binomial 36x^2-81y^2 using the Difference of Squares method?

The Factoring of Binomial 36x^2-81y^2 using the Difference of Squares method is 9 (2 x - 3 y) (2 x + 3 y).

3. How can you use the difference of squares to find the factors of 36x^2-81y^2?

The difference of squares formula is a²-b² = (a + b)(a - b). Convert the given equation 36x^2-81y^2 and find the factors.

4. How to Factor Binomial 36x^2-81y^2 by Difference of Squares on a calculator?

Simply enter the input Binomial 36x^2-81y^2 in the corresponding input field and hit on the calculate button to get the concerned result ie., 9 (2 x - 3 y) (2 x + 3 y).

5. Where do I get detailed steps on solving Factoring Difference Square Binomial 36x^2-81y^2?

You can get detailed steps on solving Factoring Difference Square Binomial 36x^2-81y^2 from this page.