Question

Why (a+b)²=a²+2ab+b²
Explain with figure and mathematical sentence.
(Remember figure explanation is must) ​

Answer 1

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Answer 2

Step-by-step explanation:

We can write:

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

Now, multiply (a+b) with (a+b). We will get,

$a {}^{2} + ab + ab + b {}^{2}$

Now, as there is two ab (ab+ab)

We can write:

$a {}^{2} + 2ab + b {}^{2}$

[ Note: 2ab came because we added ab with ab (ab+ab)].

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