Determine factoring technique: Determine the appropriate factoring technique for 9j^2 - 16. The expression is a difference of squares because it is in the form a^2 - b^2, where both terms are perfect squares.Identify square roots: Identify the square root of each term in the expression. The square root of 9j^2 is 3j, and the square root of 16 is 4. Therefore, we can rewrite the expression as (3j)^2 - 4^2.Apply difference of squares formula: Apply the difference of squares formula to factor the expression. The difference of squares formula is a^2 - b^2 = (a - b)(a + b). Using this formula, we factor the expression as (3j - 4)(3j + 4).

Algebra 1

Factor quadratics: special cases

Full solution

Q. Factor.

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9j^{2}-16

Determine factoring technique: Determine the appropriate factoring technique for $9j^2 - 16$ . The expression is a difference of squares because it is in the form $a^2 - b^2$ , where both terms are perfect squares.
Identify square roots: Identify the square root of each term in the expression. $\newline$ The square root of $9j^2$ is $3j$ , and the square root of $16$ is $4$ . Therefore, we can rewrite the expression as $(3j)^2 - 4^2$ .
Apply difference of squares formula: Apply the difference of squares formula to factor the expression. $\newline$ The difference of squares formula is $a^2 - b^2 = (a - b)(a + b)$ . Using this formula, we factor the expression as $(3j - 4)(3j + 4)$ .