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5x^{10}\times 5-30
To multiply powers of the same base, add their exponents. Add 9 and 1 to get 10.
25x^{10}-30
Multiply 5 and 5 to get 25.
5\left(5x^{9}x-6\right)
Factor out 5. Polynomial 5x^{10}-6 is not factored since it does not have any rational roots.