If $$ a=-\dfrac{29}{37} $$ , $$ b=-\dfrac{45}{37} $$, find the value of $$ a^3-6ab+b^3 $$

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If $$ a=-\dfrac{29}{37} $$ , $$ b=-\dfrac{45}{37} $$, find the value of  $$ a^3-6ab+b^3 $$

Uniteasy Admin · Accepted Answer

$$ a+b $$
$$ = -\dfrac{29}{37}-\dfrac{45}{37} $$
$$ = -2 $$
$$ a^3-6ab+b^3 $$ 
$$ = (a+b)(a^2-ab+b^2)-6ab $$
$$ =-2a^2+2ab-2b^2-6ab $$
$$ =-2(a+b)^2 $$
$$ =-8 $$

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