Question

$1. Using suitable algebraic identity, solve 10922$

Answer 1

$\huge\fbox{\tt{\orange{Question:-}}}$

Using suitable algebraic identity solve:

${1092}^{2}$

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$\rm{ {1092}^{2} }$

This can be written as

$\rm{{(1000+92)}^{2}}$

By using identity

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

$\longrightarrow{\tt{{(1000)}^{2}+{(92)}^{2}+2(1000)(92)}}$

$\longrightarrow{\tt(1000000+8464+184000)}$

$\implies{\tt{1192464}}$

Verification :

$\tt{\sqrt{1192464}=1092}$

Answer 2

✯✯ QUESTION ✯✯

Using suitable algebraic identity, solve 1092²..

✰✰ ANSWER ✰✰

$\longmapsto\tt{{1092}^{2}}$

$\longmapsto\tt{{(1000+92)}^{2}}$

☛Using Identity : -

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

☛Putting Values : -

$\longmapsto\tt{{(1000)}^{2}+{(92)}^{2}+2(1000)(92)}$

$\longmapsto\tt{1000000+8464+2000(92)}$

$\longmapsto\tt{1000000+8464+184000}$

$\longmapsto\tt{\large{\boxed{\bold{\bold{\red{\sf{1192464}}}}}}}$

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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)

★(x + a) (x + b)= x² + (a + b)x + ab