Answered

Westonci.ca is the Q&A platform that connects you with experts who provide accurate and detailed answers. Join our Q&A platform to get precise answers from experts in diverse fields and enhance your understanding. Our platform provides a seamless experience for finding reliable answers from a network of experienced professionals.

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)

Thank you for your visit. We're dedicated to helping you find the information you need, whenever you need it. We hope you found this helpful. Feel free to come back anytime for more accurate answers and updated information. Thank you for visiting Westonci.ca, your go-to source for reliable answers. Come back soon for more expert insights.