Question

simplify the following using identities
a.(10)²+(20)²

Answer 1

$\huge\red{The\: answer\:is}$

$(10) {}^{2} +( 20) {}^{2} \\ = (10 + 20) {}^{2} - 2 \times 10 \times 20 \\ = (30) {}^{2} - 400 \\ = 900 - 400 \\ = 500$

$\huge\blue{Hope\: it\: helps\:you}$

Answer 2

Heya !!

$Since, \: a^2 + b^2 = (a+b)^2 - 2ab \: ,\\\\10^2 + 20^2 = (10 + 20)^2 - 2(10)(20)\\\\= 30^2 - 400\\\\= 900-400\\\\= \boxed{\boxed{500}}$

Hope it helps !!