Factor completely. 5-20x^(2) Answer:

Question

Factor completely.  5-20x^(2) Answer:

Bytelearn · Accepted Answer

Identify Common Factor: Step Title: Identify the Common Factor Concise Step Description: Identify the greatest common factor that can be factored out from both terms in the expression. Step Calculation: The greatest common factor of 5 and -20x^2 is 5. Step Output: Greatest common factor: 5Factor Out Common Factor: Step Title: Factor Out the Greatest Common Factor Concise Step Description: Factor out the greatest common factor from the expression. Step Calculation: Factoring out 5 from the expression gives 5(1 - 4x^2). Step Output: Factored expression: 5(1 - 4x^2)Recognize Difference of Squares: Step Title: Recognize the Difference of Squares Concise Step Description: Recognize that the expression inside the parentheses is a difference of squares. Step Calculation: The expression 1 - 4x^2 can be written as (1)^2 - (2x)^2, which is a difference of squares. Step Output: Difference of squares: (1)^2 - (2x)^2Factor Difference of Squares: Step Title: Factor the Difference of Squares Concise Step Description: Factor the difference of squares using the formula a^2 - b^2 = (a - b)(a + b). Step Calculation: Using the formula, we factor 1 - 4x^2 as (1 - 2x)(1 + 2x). Step Output: Factored form of the difference of squares: (1 - 2x)(1 + 2x)Write Final Factored Form: Step Title: Write the Final Factored Form Concise Step Description: Combine the factored difference of squares with the factored out greatest common factor. Step Calculation: The final factored form is 5(1 - 2x)(1 + 2x). Step Output: Final factored form: 5(1 - 2x)(1 + 2x)

Factor completely. $\newline$ $5-20 x^{2}$ $\newline$ Answer:

Full solution

More problems from Factor polynomials

Related topics

Factor completely.\newline5−20x2 5-20 x^{2} 5−20x2\newlineAnswer:

Factor completely. $\newline$ $5-20 x^{2}$ $\newline$ Answer: