Final answer to the problem
$\left(x-5\right)^3+\left(x+1\right)^3=8\left(x-2\right)^3$
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Step-by-step Solution
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1
Factor the polynomial $\left(2x-4\right)$ by it's greatest common factor (GCF): $2$
$\left(x-5\right)^3+\left(x+1\right)^3=\left(2\left(x-2\right)\right)^3$
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$\left(x-5\right)^3+\left(x+1\right)^3=\left(2\left(x-2\right)\right)^3$
Learn how to solve problems step by step online. Find the discriminant of the equation (x-5)^3+(x+1)^3=(2x-4)^3. Factor the polynomial \left(2x-4\right) by it's greatest common factor (GCF): 2. The power of a product is equal to the product of it's factors raised to the same power. Calculate the power 2^3.
Final answer to the problem
$\left(x-5\right)^3+\left(x+1\right)^3=8\left(x-2\right)^3$