Factor 2n^2-4n*(5n)-10n^(2+4)

Math
2n2-4n⋅(5n)-10n2+4
Factor 2 out of 2n2-4n⋅(5n)-10n2+4.
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Factor 2 out of 2n2.
2(n2)-4n⋅(5n)-10n2+4
Factor 2 out of -4n⋅(5n).
2(n2)+2(-2n⋅(5n))-10n2+4
Factor 2 out of -10n2+4.
2(n2)+2(-2n⋅(5n))+2(-5n2+4)
Factor 2 out of 2(n2)+2(-2n⋅(5n)).
2(n2-2n⋅(5n))+2(-5n2+4)
Factor 2 out of 2(n2-2n⋅(5n))+2(-5n2+4).
2(n2-2n⋅(5n)-5n2+4)
2(n2-2n⋅(5n)-5n2+4)
Rewrite using the commutative property of multiplication.
2(n2-2⋅5n⋅n-5n2+4)
Multiply n by n by adding the exponents.
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Move n.
2(n2-2⋅5(n⋅n)-5n2+4)
Multiply n by n.
2(n2-2⋅5n2-5n2+4)
2(n2-2⋅5n2-5n2+4)
Multiply -2 by 5.
2(n2-10n2-5n2+4)
Add 2 and 4.
2(n2-10n2-5n6)
Subtract 10n2 from n2.
2(-9n2-5n6)
Factor.
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Factor n2 out of -9n2-5n6.
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Factor n2 out of -9n2.
2(n2⋅-9-5n6)
Factor n2 out of -5n6.
2(n2⋅-9+n2(-5n4))
Factor n2 out of n2⋅-9+n2(-5n4).
2(n2(-9-5n4))
2(n2(-9-5n4))
Remove unnecessary parentheses.
2n2(-9-5n4)
2n2(-9-5n4)
Factor.
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Factor -1 out of -9-5n4.
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Reorder -9 and -5n4.
2n2(-5n4-9)
Factor -1 out of -5n4.
2n2(-(5n4)-9)
Rewrite -9 as -1(9).
2n2(-(5n4)-1(9))
Factor -1 out of -(5n4)-1(9).
2n2(-(5n4+9))
2n2(-(5n4+9))
Remove unnecessary parentheses.
2n2⋅-1(5n4+9)
2n2⋅-1(5n4+9)
Combine exponents.
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Factor out negative.
-(2n2(5n4+9))
Multiply 2 by -1.
-2(n2(5n4+9))
-2(n2(5n4+9))
Remove unnecessary parentheses.
-2n2(5n4+9)
Factor 2n^2-4n*(5n)-10n^(2+4)

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