Final answer to the problem
$4a^{12}-24a^{9}+\left(-6a^3\right)^2$
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Step-by-step Solution
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1
Apply the formula: $\left(a+b\right)^2$$=a^2+2ab+b^2$, where $a=2a^6$, $b=-6a^3$ and $a+b=2a^6-6a^3$
$\left(2a^6\right)^2-24a^6a^3+\left(-6a^3\right)^2$
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$\left(2a^6\right)^2-24a^6a^3+\left(-6a^3\right)^2$
Learn how to solve problems step by step online. (2a^6-6a^3)^2. Apply the formula: \left(a+b\right)^2=a^2+2ab+b^2, where a=2a^6, b=-6a^3 and a+b=2a^6-6a^3. Apply the formula: x^mx^n=x^{\left(m+n\right)}, where x=a, m=6 and n=3. Apply the formula: a+b=a+b, where a=6, b=3 and a+b=6+3. Apply the formula: \left(ab\right)^n=a^nb^n.
Final answer to the problem
$4a^{12}-24a^{9}+\left(-6a^3\right)^2$
