Factor. 4t^2 - 9 ______

Identify Expression Type: Step Title: Identify the Type of Expression Concise Step Description: Determine the type of expression to decide the factoring method. Step Calculation: The expression is 4t^2 - 9, which is a difference of squares since both 4t^2 and 9 are perfect squares. Step Output: The expression is a difference of squares.Find Square Roots: Step Title: Find the Square Roots Concise Step Description: Find the square roots of the terms in the expression. Step Calculation: The square root of 4t^2 is 2t, and the square root of 9 is 3. Step Output: Square roots are 2t and 3.Write Factored Form: Step Title: Write the Factored Form Concise Step Description: Express the difference of squares as the product of two binomials. Step Calculation: The factored form is (2t + 3)(2t - 3). Step Output: Factored Form: (2t + 3)(2t - 3).

Home

Math Problems

Algebra 2

Factor polynomials

Full solution

Q. Factor.

\newline

4t^2 - 9

Identify Expression Type: Step Title: Identify the Type of Expression $\newline$ Concise Step Description: Determine the type of expression to decide the factoring method. $\newline$ Step Calculation: The expression is $4t^2 - 9$ , which is a difference of squares since both $4t^2$ and $9$ are perfect squares. $\newline$ Step Output: The expression is a difference of squares.
Find Square Roots: Step Title: Find the Square Roots $\newline$ Concise Step Description: Find the square roots of the terms in the expression. $\newline$ Step Calculation: The square root of $4t^2$ is $2t$ , and the square root of $9$ is $3$ . $\newline$ Step Output: Square roots are $2t$ and $3$ .
Write Factored Form: Step Title: Write the Factored Form $\newline$ Concise Step Description: Express the difference of squares as the product of two binomials. $\newline$ Step Calculation: The factored form is $(2t + 3)(2t - 3)$ . $\newline$ Step Output: Factored Form: $(2t + 3)(2t - 3)$ .