Answered

Westonci.ca offers fast, accurate answers to your questions. Join our community and get the insights you need now. Explore thousands of questions and answers from knowledgeable experts in various fields on our Q&A platform. Connect with a community of professionals ready to provide precise solutions to your questions quickly and accurately.

Factor the expression below. 9x^2-1 A. (3x - 1)(3x - 1) B. (3x - 1)(3x + 1) C. (x - 1)(9x - 1) D. (x - 1)(9x + 1)​

Sagot :

chibabykalu16

Answer:

(3x + 1) • (3x - 1)

Step-by-step explanation:

Step by Step Solution

More Icon

STEP

1

:

Equation at the end of step 1

3[tex]{}^{2}[/tex]x[tex]{}^{2}[/tex] - 1

STEP

2

:

Trying to factor as a Difference of Squares:

2.1 Factoring: 9x[tex]{}^{2}[/tex]-1

Theory : A difference of two perfect squares, A[tex]{}^{2}[/tex] - B[tex]{}^{2}[/tex] can be factored into (A+B) • (A-B)

Proof : (A+B) • (A-B) =

A[tex]{}^{2}[/tex] - AB + BA - B2 =

A[tex]{}^{2} [/tex]- AB + AB - B2 =

A[tex]{}^{2}[/tex] - B2

Note : AB = BA is the commutative property of multiplication.

Note : - AB + AB equals zero and is therefore eliminated from the expression.

Check : 9 is the square of 3

Check : 1 is the square of 1

Check : x[tex]{}^{2}[/tex] is the square of x1

Factorization is : (3x + 1) • (3x - 1)

Final result :

(3x + 1) • (3x - 1)

Thanks for using our platform. We're always here to provide accurate and up-to-date answers to all your queries. We hope you found what you were looking for. Feel free to revisit us for more answers and updated information. Get the answers you need at Westonci.ca. Stay informed with our latest expert advice.