Final answer to the problem
$9c^{8}-30c^{10}+\left(-5c^6\right)^2$
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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 $a=3c^4$, $b=-5c^6$ and $a+b=3c^4-5c^6$
$\left(3c^4\right)^2-30c^4c^6+\left(-5c^6\right)^2$
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$\left(3c^4\right)^2-30c^4c^6+\left(-5c^6\right)^2$
Learn how to solve produits spéciaux problems step by step online. (3c^4-5c^6)^2. Apply the formula: \left(a+b\right)^2=a^2+2ab+b^2, where a=3c^4, b=-5c^6 and a+b=3c^4-5c^6. Apply the formula: x^mx^n=x^{\left(m+n\right)}, where x=c, m=4 and n=6. Apply the formula: a+b=a+b, where a=4, b=6 and a+b=4+6. Apply the formula: \left(ab\right)^n=a^nb^n.
Final answer to the problem
$9c^{8}-30c^{10}+\left(-5c^6\right)^2$
