Factorize Polynomial: x² - 4y² + 2x + 1

📝 Problem

Factor the following polynomial: $x^2 - 4y^2 + 2x + 1$

✨Detailed Solution

To factor the polynomial $x^2 - 4y^2 + 2x + 1$, we can group terms to utilize algebraic identities.

Group the terms involving : $(x^2 + 2x + 1) - 4y^2$.

Recognize the perfect square trinomial: $(x+1)^2 - 4y^2$.

This is now in the form of a difference of squares, a = (x+1)b = 2y$.

🔒 5 steps remaining

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To factor the polynomial $x^2 - 4y^2 + 2x + 1$, we can group terms to utilize algebraic identities.

Group the terms involving : $(x^2 + 2x + 1) - 4y^2$.

Recognize the perfect square trinomial: $(x+1)^2 - 4y^2$.

This is now in the form of a difference of squares, a = (x+1)b = 2y$.

🔒 5 steps remaining

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