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Finding the Factoring of Binomial 4b^2-81 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 4b^2-81 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 4b^2-81 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 4b^2-81 using Difference of Square

When you learn to factor quadratics, there are three other formulas that they usually introduce at the same time. The first is the "difference of squares" formula.

Remember from your translation skills that a "difference" means a "subtraction". So a difference of squares is something that looks like x2 – 4. That is because 4 = 22, so we really have x2 – 22, which is a difference of squares.

To factor this in the same way as usual for factoring:

(a+b)(a-b)

=a (a + b) - b (a + b)

=a a+a (- b)+a b- b b

=a^2 - b^2

So we got the formula of a2-b2 = (a+b)(a-b)

The given Polynomial is 4b^2-81

=(2 b+9)(2 b-9)

FAQs on Factoring Binomial of 4b^2-81 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 4b^2-81 using the Difference of Squares method?

The Factoring of Binomial 4b^2-81 using the Difference of Squares method is (2 b - 9) (2 b + 9).

3. How can you use the difference of squares to find the factors of 4b^2-81?

The difference of squares formula is a²-b² = (a + b)(a - b). Convert the given equation 4b^2-81 and find the factors.

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

Simply enter the input Binomial 4b^2-81 in the corresponding input field and hit on the calculate button to get the concerned result ie., (2 b - 9) (2 b + 9).

5. Where do I get detailed steps on solving Factoring Difference Square Binomial 4b^2-81?

You can get detailed steps on solving Factoring Difference Square Binomial 4b^2-81 from this page.