Question

Using suitable identities, find (5x + 2)2 + (5x – 2)2.​

Answer 1

Step-by-step explanation:

$\implies$ $\sf{(5x+2)^2 + (5x-2)^2 }$

Using (a+b)² & (a-b)² formulae,

$\implies$ $\sf{(5x)^2 +2^2 + 2(5x)(2) + (5x)^2 + 2^2 - 2(5x)(2) }$

$\implies$ $\sf{25x^2 + 4\ \bcancel{+20x} + 25x^2 +4\ \bcancel{- 20x} }$

$\implies$ $\sf{50x^2 + 8 }$

$\therefore$ $\boxed{\sf{2(25x^2+4) }}$

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