Which of the equations are true identities?A. n3+3n2+2n=n(n+1)(n+2)B. (a+3)2−9=a2+6aChoose 1 answer:(A) Only A(B) Only B(C) Both A and B(D) Neither A nor B
Q. Which of the equations are true identities?A. n3+3n2+2n=n(n+1)(n+2)B. (a+3)2−9=a2+6aChoose 1 answer:(A) Only A(B) Only B(C) Both A and B(D) Neither A nor B
Expand Equation A: Let's expand the right side of equation A and see if it matches the left side.n(n+1)(n+2)=n(n2+3n+2)=n3+3n2+2n
Check Equation B: Now let's check equation B by expanding the left side.(a+3)2−9=a2+6a+9−9=a2+6a
Verify Identities: Both equations A and B seem to be true identities after expanding and simplifying.
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