Question

101² by using identities​

Answer 1

Answer:

101*2

Step-by-step explanation:

(100+1)(100+1)

10000+100+100+1

10000+200+1

10201

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Answer 2

Answer :-

• ( 101 )² = 10201

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To Find :-

• The value of ( 101 )² using identity.

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Step By Step Solution:-

To solve these types of questions we should remember the identities for this question we will use the Identity ⤵

${(x + y)}^{2} = {x}^{2} + {y}^{2} + 2xy$

So let's do it !!

$\implies{(100 + 1)}^{2} \\ \\ \implies {100}^{2} + {1}^{2} + 2 \times 100 \times 1 \\ \\ \implies10000 + 1 + 200 \\ \\ \implies10201$

Therefore ( 101 )² = 10201

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☆ Extra Identities :-

• ${(x + y)}^{2} = {x}^{2} + {y}^{2} + 2xy$

• ${(x - y)}^{2} = {x}^{2} + {y}^{2} - 2xy$

• $(x + y)(x - y) = {x}^{2} - {y}^{2}$

• $(x + a)(x + b) = {x}^{2} + x(a + b) + (a \times b)$

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