Answered

Westonci.ca is the premier destination for reliable answers to your questions, brought to you by a community of experts. Get the answers you need quickly and accurately from a dedicated community of experts on our Q&A platform. Discover detailed answers to your questions from a wide network of experts on our comprehensive Q&A platform.

Choose the correct answer below:

A. Factoring by grouping
B. Factoring the difference of two cubes [tex]\(A^3 - B^3 = (A - B)(A^2 + AB + B^2)\)[/tex]
C. Factoring perfect square trinomials [tex]\(A^2 + 2AB + B^2 = (A + B)^2\)[/tex] or [tex]\(A^2 - 2AB + B^2 = (A - B)^2\)[/tex]
D. Factoring out the GCF
E. Factoring the sum of cubes [tex]\(A^3 + B^3 = (A + B)(A^2 - AB + B^2)\)[/tex]
F. Factoring the difference of squares [tex]\(A^2 - B^2 = (A + B)(A - B)\)[/tex]
G. Factoring trinomials by trial and error

Sagot :

GinnyAnswer
Let's review the different factoring techniques provided in the options:

A. Factoring by grouping: This method involves grouping terms that have a common factor and then factoring out the GCF from each group.

B. Factoring the difference of two cubes: This formula is used to factor expressions of the form [tex]\(A^3 - B^3\)[/tex] into [tex]\((A - B)(A^2 + AB + B^2)\)[/tex].

C. Factoring perfect square trinomials: This technique applies to expressions of the form [tex]\(A^2 + 2AB + B^2\)[/tex] or [tex]\(A^2 - 2AB + B^2\)[/tex], which can be factored into [tex]\((A + B)^2\)[/tex] or [tex]\((A - B)^2\)[/tex], respectively.

D. Factoring out the GCF (Greatest Common Factor): This method involves factoring out the largest common factor from each term of the expression.

E. Factoring the sum of cubes: This involves factoring expressions of the form [tex]\(A^3 + B^3\)[/tex] into [tex]\((A + B)(A^2 - AB + B^2)\)[/tex].

F. Factoring the difference of squares: This technique is used to factor expressions of the form [tex]\(A^2 - B^2\)[/tex] into [tex]\((A + B)(A - B)\)[/tex].

G. Factoring trinomials by trial and error: This is a method where factors of the given trinomial are tried out until the correct one is found.

Given that the correct answer requires matching to a specific factoring technique, understand that each answer fits a particular polynomial structure. Ensure you apply the definitions and formulas accurately to identify which one corresponds to the expression you need to factor.
Thanks for using our service. We aim to provide the most accurate answers for all your queries. Visit us again for more insights. Thank you for your visit. We're committed to providing you with the best information available. Return anytime for more. We're dedicated to helping you find the answers you need at Westonci.ca. Don't hesitate to return for more.