Math, asked by SURYANSHDIXIT, 8 months ago

Evalute 105*108 without multiple directly?

Answers

Answered by sadhanroydot542
0

Answer:

11130

Step-by-step explanation:

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Answered by sethrollins13
3

✯✯ QUESTION ✯✯

Evalute 105*108 without multiple directly..

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✰✰ ANSWER ✰✰

\longmapsto\tt{105\times{108}}

\longmapsto\tt{(100+5)\times{(100+8)}}

Using Identity : -

\longmapsto\tt{\small{\boxed{\bold{\bold{\red{\sf{(x+a)(x+b)={x}^{2}+(a+b)x+ab}}}}}}}

\longmapsto\tt{{(100)}^{2}+(5+8)(100)+(5\times{8})}

\longmapsto\tt{10000+13(100)+(5\times{8})}

\longmapsto\tt{10000+1300+40}

\longmapsto\tt{\large{\boxed{\bold{\bold{\pink{\sf{Answer:.11340}}}}}}}

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Some More Identities : -

  • (x+y)² = x² + 2xy + y²
  • (x+y)² = x² - 2xy + y²
  • x² - y² = (x + y) (x - y)
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