Question

(n+1)²-n²=2n+1 prove this ​

Answer 1

$\huge\underline\mathfrak\pink{Explanation}$

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Answer 2

Concept Introduction: Proving LHS and RHS is the basic of Mathematics.

Given:

We have been Given:

$(n + 1)^{2} - {n}^{2} = 2n + 1$

To Find:

We Have To Find: Prove LHS is equal to RHS.

Solution:

According to the problem, taking the LHS first to solve, therefore we know, that,

${(a + b)}^{2} = {a}^{2} + {b}^{2} + 2ab$

therefore Applying it in the equation we get,

${(n + 1)}^{2} - {n}^{2} = {n}^{2} + 1 + 2n - {n}^{2} \\ {(n + 1)}^{2} - {n}^{2} = 2n + 1$

Now seeing the RHS we see,

$2n + 1$

therefore LHS is equal to RHS, Hence Proved.

Final Answer: LHS is equal to RHS, Hence Proved.

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