Math, asked by ashish10268, 11 months ago


Evaluate using suitable identities
cube of (102)​

Answers

Answered by itzcharming
24

Answer:

  =  &gt; {(102)}^{3}  \\  using \: identity \:  {(a + b)}^{3}  =  {a}^{3}  +  {b}^{3}  + 3ab(a + b) \: we \: get... \\  =  &gt;  {(100 + 2)}^{3}  \\  =  &gt;  {(100)}^{3}  +  {(2)}^{3}  + 3 \times 100 \times 2(100 + 2) \\  =  &gt; 1000000 + 8 + 600(100 + 2) \\  =  &gt; 1000000 + 8 + 60000 + 1200 \\  =  &gt; 1061208</p><p></p><p></p><p></p><p>

HOPE THIS HELPS YOU!! ✌❤☺✔️

Answered by sonu7170
7

Answer:

(102)³

=102×102×102

=(100+2)×(100+2)×(100+2)

=(100×100+100×2+2×100+2×2)×

(100+2)

=(10000+400+4)×(100+2)

=10404×(100+2)

=10404×100+10404×2

=1040400+20808

=1061208

I hope it will help you.

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