Which of the equations are true identities?
A. $n^{3}+3 n^{2}+2 n=n(n+1)(n+2)$
B. $(a+3)^{2}-9=a^{2}+6 a$

Choose 1 answer:
(A) Only A
(B) Only B
(C) Both A and B
(D) Neither A nor B

Question

Which of the equations are true identities?
A. $n^{3}+3 n^{2}+2 n=n(n+1)(n+2)$
B. $(a+3)^{2}-9=a^{2}+6 a$

Choose 1 answer:
(A) Only A
(B) Only B
(C) Both A and B
(D) Neither A nor B

Accepted Answer

∻Solution by Steps∻ ‖ step 1 ⋮ To verify the identity in Option A, we expand the right-hand side of the equation: $n(n+1)(n+2)$. ‖ ‖ step 2 ⋮ Using the asksia-ll calculation list, the expansion is: $n^3 + 3n^2 + 2n$. ‖ ‖ step 3 ⋮ This matches the left-hand side of the equation in Option A, confirming it as a true identity. ‖ ‖ step 4 ⋮ To verify the identity in Option B, we simplify the left-hand side of the equation: $(a+3)^2 - 9$. ‖ ‖ step 5 ⋮ Using the asksia-ll calculation list, the simplification is: $a^2 + 6a$. ‖ ‖ step 6 ⋮ This matches the right-hand side of the equation in Option B, confirming it as a true identity. ‖ ∻[question 1] Answer∻ ***C*** ∻Key Concept∻ ⚹Expanding and simplifying algebraic expressions to verify identities⚹ ∻Explanation∻ ⚹Both equations given in the multiple-choice question are true identities, as confirmed by expanding and simplifying the expressions using algebraic methods.⚹◊What is the process to determine if a given equation is a true identity in Mathematics?⍭ Generate me a similar question◊

Sia