Answered

IDNLearn.com provides a collaborative environment for finding and sharing knowledge. Ask your questions and receive reliable and comprehensive answers from our dedicated community of professionals.

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 :

GinnyAnsweridn
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.
We greatly appreciate every question and answer you provide. Keep engaging and finding the best solutions. This community is the perfect place to learn and grow together. Discover the answers you need at IDNLearn.com. Thank you for visiting, and we hope to see you again for more solutions.