Question

$a^3-0.216$=______

• A. $(a-0.6)(a^2+0.6a+0.36)$
• B. $(a^2-0.36)(a-0.6a+0.6)$
• C. $(a-0.6)(a^2-0.6a+0.36)$
• D. $(a^2+0.36)(a+0.6a+0.6)$

Answer 1

The correct option is A $(a-0.6)(a^2+0.6a+0.36)$

$a^3-0.216={\left(a\right)}^3-{\left(0.6\right)}^3=(a-0.6)({\left(a\right)}^2+a\times 0.6+{\left(0.6\right)}^2)$

$=(a-0.6)(a^2+0.6a+0.36)$