Given $$ a+b=8 $$ , $$ ab=2 $$ , find value of $$ (a-b)^2 $$

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Uniteasy Admin · Accepted Answer

Given $$a+b=8$$
Square both sides of the equation 
$$a^2+2ab+b^2=64$$
Plug in $$ab=2$$
$$a^2+b^2=64-2\cdotp 2 =60$$
$$(a-b)^2=a^2-2ab+b^2$$
$$=60-2\cdotp 2 $$
$$=56$$

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