Question

Factorize : (4x2 - 4x + 1) - 9y2​

Answer 1

Answer: $(2x-1+3y)(2x-1-3y)$ is solution of this question.

Given: We are given the algebraic expression $(4x^2-4x+1)-9y^2$

To Find: We have to find the factored form of the given expression.

Step-by-Step Explanation: We will use the following formulas to find the factored form of the given algebraic expression.

$(a-b)^2=a^2+b^2-2ab$     -----(1)

$a^2-b^2=(a+b)(a-b)$     ------(2)

Step 1: We can write $(4x^2-4x+1)$ as $((2x)^2+1^2-2\times2x)$

Then using (1) we can write it as $(2x-1)^2$

Step 2: We can write $9y^2$ as $(3y)^2$

Step 3: Using Step 1 and Step 2 our expression will become $(2x-1)^2-(3y)^2$

Now, it has become like the expression on the left hand side of formula (2)

Then using (2) we can write it as $(2x-1+3y)(2x-1-3y)$

So, our final factored form of the given expression will be $(2x-1+3y)(2x-1-3y)$

To know more about algebra, refer to the links below:

https://brainly.in/question/5232024

https://brainly.in/question/24312926

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