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2a^{2}\times 5\times 5a+4
Multiply a and a to get a^{2}.
2a^{3}\times 5\times 5+4
To multiply powers of the same base, add their exponents. Add 2 and 1 to get 3.
10a^{3}\times 5+4
Multiply 2 and 5 to get 10.
50a^{3}+4
Multiply 10 and 5 to get 50.
2\left(25aaa+2\right)
Factor out 2. Polynomial 25a^{3}+2 is not factored since it does not have any rational roots.