Factor 192y^4+3y

Math
192y4+3y
Factor 3y out of 192y4+3y.
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Factor 3y out of 192y4.
3y(64y3)+3y
Factor 3y out of 3y.
3y(64y3)+3y(1)
Factor 3y out of 3y(64y3)+3y(1).
3y(64y3+1)
3y(64y3+1)
Rewrite 64y3 as (4y)3.
3y((4y)3+1)
Rewrite 1 as 13.
3y((4y)3+13)
Since both terms are perfect cubes, factor using the sum of cubes formula, a3+b3=(a+b)(a2-ab+b2) where a=4y and b=1.
3y((4y+1)((4y)2-(4y)⋅1+12))
Factor.
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Simplify.
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Apply the product rule to 4y.
3y((4y+1)(42y2-(4y)⋅1+12))
Raise 4 to the power of 2.
3y((4y+1)(16y2-(4y)⋅1+12))
Multiply 4 by -1.
3y((4y+1)(16y2-4y⋅1+12))
Multiply -4 by 1.
3y((4y+1)(16y2-4y+12))
One to any power is one.
3y((4y+1)(16y2-4y+1))
3y((4y+1)(16y2-4y+1))
Remove unnecessary parentheses.
3y(4y+1)(16y2-4y+1)
3y(4y+1)(16y2-4y+1)
Factor 192y^4+3y

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