Simplify (-5w^10+10w^8+5w^6)÷5w^5

Math
(-5w10+10w8+5w6)÷5w5
Rewrite the division as a fraction.
-5w10+10w8+5w65w5
Factor 5w6 out of -5w10+10w8+5w6.
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Factor 5w6 out of -5w10.
5w6(-w4)+10w8+5w65w5
Factor 5w6 out of 10w8.
5w6(-w4)+5w6(2w2)+5w65w5
Factor 5w6 out of 5w6.
5w6(-w4)+5w6(2w2)+5w6(1)5w5
Factor 5w6 out of 5w6(-w4)+5w6(2w2).
5w6(-w4+2w2)+5w6(1)5w5
Factor 5w6 out of 5w6(-w4+2w2)+5w6(1).
5w6(-w4+2w2+1)5w5
5w6(-w4+2w2+1)5w5
Cancel the common factor of 5.
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Cancel the common factor.
5w6(-w4+2w2+1)5w5
Rewrite the expression.
w6(-w4+2w2+1)w5
w6(-w4+2w2+1)w5
Cancel the common factor of w6 and w5.
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Factor w5 out of w6(-w4+2w2+1).
w5(w(-w4+2w2+1))w5
Cancel the common factors.
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Multiply by 1.
w5(w(-w4+2w2+1))w5⋅1
Cancel the common factor.
w5(w(-w4+2w2+1))w5⋅1
Rewrite the expression.
w(-w4+2w2+1)1
Divide w(-w4+2w2+1) by 1.
w(-w4+2w2+1)
w(-w4+2w2+1)
w(-w4+2w2+1)
Apply the distributive property.
w(-w4)+w(2w2)+w⋅1
Simplify.
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Rewrite using the commutative property of multiplication.
-w⋅w4+w(2w2)+w⋅1
Rewrite using the commutative property of multiplication.
-w⋅w4+2w⋅w2+w⋅1
Multiply w by 1.
-w⋅w4+2w⋅w2+w
-w⋅w4+2w⋅w2+w
Simplify each term.
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Multiply w by w4 by adding the exponents.
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Move w4.
-(w4w)+2w⋅w2+w
Multiply w4 by w.
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Raise w to the power of 1.
-(w4w1)+2w⋅w2+w
Use the power rule aman=am+n to combine exponents.
-w4+1+2w⋅w2+w
-w4+1+2w⋅w2+w
Add 4 and 1.
-w5+2w⋅w2+w
-w5+2w⋅w2+w
Multiply w by w2 by adding the exponents.
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Move w2.
-w5+2(w2w)+w
Multiply w2 by w.
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Raise w to the power of 1.
-w5+2(w2w1)+w
Use the power rule aman=am+n to combine exponents.
-w5+2w2+1+w
-w5+2w2+1+w
Add 2 and 1.
-w5+2w3+w
-w5+2w3+w
-w5+2w3+w
Simplify (-5w^10+10w^8+5w^6)÷5w^5

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