Factor completely. 1-4x^(4)y^(2) Answer:

Identify Expression Type: Step Title: Identify the Type of Expression Concise Step Description: Recognize that the expression is a difference of squares. Step Calculation: The expression 1 - 4x^(4)y^(2) can be seen as a^2 - b^2 where a = 1 and b = (2x^(2)y). Step Output: Recognized as a difference of squares.Apply Formula: Step Title: Apply the Difference of Squares Formula Concise Step Description: Use the formula a^2 - b^2 = (a + b)(a - b) to factor the expression. Step Calculation: Factoring 1 - 4x^(4)y^(2) using the formula gives us (1 + 2x^(2)y)(1 - 2x^(2)y). Step Output: Factored form is (1 + 2x^(2)y)(1 - 2x^(2)y).

Home

Math Problems

Algebra 2

Factor polynomials

Full solution

Q. Factor completely.

\newline

1-4 x^{4} y^{2}

\newline

Answer:

Identify Expression Type: Step Title: Identify the Type of Expression $\newline$ Concise Step Description: Recognize that the expression is a difference of squares. $\newline$ Step Calculation: The expression $1 - 4x^{4}y^{2}$ can be seen as $a^{2} - b^{2}$ where $a = 1$ and $b = (2x^{2}y)$ . $\newline$ Step Output: Recognized as a difference of squares.
Apply Formula: Step Title: Apply the Difference of Squares Formula $\newline$ Concise Step Description: Use the formula $a^2 - b^2 = (a + b)(a - b)$ to factor the expression. $\newline$ Step Calculation: Factoring $1 - 4x^{4}y^{2}$ using the formula gives us $(1 + 2x^{2}y)(1 - 2x^{2}y)$ . $\newline$ Step Output: Factored form is $(1 + 2x^{2}y)(1 - 2x^{2}y)$ .