Studdy AI Logo
Math  /  Algebra

QuestionFactor completely. b2−d2b^{2}-d^{2}
Select the correct choice below and, if necessary, fill in the answer box to complete your choice. A. b2−d2=b^{2}-d^{2}= □\square B. The binomial is not factorable.

Studdy Solution

STEP 1

1. The expression b2−d2 b^2 - d^2 is a difference of squares.
2. A difference of squares can be factored using the identity a2−c2=(a−c)(a+c) a^2 - c^2 = (a - c)(a + c) .

STEP 2

1. Identify the structure of the difference of squares.
2. Apply the difference of squares formula to factor the expression.

STEP 3

Recognize that the expression b2−d2 b^2 - d^2 fits the form of a difference of squares, where a=b a = b and c=d c = d .
b2−d2=(b)2−(d)2 b^2 - d^2 = (b)^2 - (d)^2

STEP 4

Apply the difference of squares formula:
b2−d2=(b−d)(b+d) b^2 - d^2 = (b - d)(b + d)
The correct choice is: A. b2−d2=(b−d)(b+d) b^2 - d^2 = (b - d)(b + d)

Was this helpful?

Studdy solves anything!

banner

Start learning now

Download Studdy AI Tutor now. Learn with ease and get all help you need to be successful at school.

ParentsInfluencer programContactPolicyTerms
TwitterInstagramFacebookTikTokDiscord