Question

Is (n+1)^2 the same as n^2 +2n+1

Answer 1

Answer:

no (n+1)^2 equals n^2+2n+1

Step-by-step explanation:

because the exponent makes it so you multiply n+1 and n+1

Answer 2

Answer:

Yes, (n + 1)^2 and n^2 + 2n + 1 are the same.

Step-by-step explanation:

#1.) Use square of sum:

• (a + b)^2 = a^2 + 2ab + b^2

• (n + 1)^2
• n^2 + 2n + 1

#2a.) Rewrite it in the form:

• a^2 + 2ab + b^2, where a = n and b = 1.

• n^2 + 2(n)(1) + 1^2

#2b.) Use Square of Sum:

• (a + b)^2 = a^2 + 2ab + b^2

• (n + 1)^2

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