expand the suitable identity (2a+1)²
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Step-by-step explanation:
Identity : (a + b)^2 = a^2 + 2ab + b^2
Question: (2a+1)^2
where a = 2a and b = 1 as per the question.
So, (2a + 1)^2 = (2a)^2 + 2(2a)(1) + 1^2
= 4a^2 + 4a + 1
Therefore, the expansion of (2a + 1)^2 is 4a^2 + 4a + 1.
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Answered by
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(2a + 1 ) ^2 identity used - (a + b ) ^2 = a^2 + b^2 +2ab
= (2a)^2 + (1)^2 + 2 * 2a * 1
= 4a^2 + 1 + 4a
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