# Factor 250x^4+16x

250×4+16x
Factor 2x out of 250×4+16x.
Factor 2x out of 250×4.
2x(125×3)+16x
Factor 2x out of 16x.
2x(125×3)+2x(8)
Factor 2x out of 2x(125×3)+2x(8).
2x(125×3+8)
2x(125×3+8)
Rewrite 125×3 as (5x)3.
2x((5x)3+8)
Rewrite 8 as 23.
2x((5x)3+23)
Since both terms are perfect cubes, factor using the sum of cubes formula, a3+b3=(a+b)(a2-ab+b2) where a=5x and b=2.
2x((5x+2)((5x)2-(5x)⋅2+22))
Factor.
Simplify.
Apply the product rule to 5x.
2x((5x+2)(52×2-(5x)⋅2+22))
Raise 5 to the power of 2.
2x((5x+2)(25×2-(5x)⋅2+22))
Multiply 5 by -1.
2x((5x+2)(25×2-5x⋅2+22))
Multiply 2 by -5.
2x((5x+2)(25×2-10x+22))
Raise 2 to the power of 2.
2x((5x+2)(25×2-10x+4))
2x((5x+2)(25×2-10x+4))
Remove unnecessary parentheses.
2x(5x+2)(25×2-10x+4)
2x(5x+2)(25×2-10x+4)
Factor 250x^4+16x

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