# Simplify (8x^5+4x^3)/(-x^2) 8×5+4×3-x2
Simplify terms.
Factor 4×3 out of 8×5+4×3.
Factor 4×3 out of 8×5.
4×3(2×2)+4×3-x2
Factor 4×3 out of 4×3.
4×3(2×2)+4×3(1)-x2
Factor 4×3 out of 4×3(2×2)+4×3(1).
4×3(2×2+1)-x2
4×3(2×2+1)-x2
Cancel the common factor of x3 and x2.
Factor x2 out of 4×3(2×2+1).
x2(4x(2×2+1))-x2
Move the negative one from the denominator of 4x(2×2+1)-1.
-1⋅(4x(2×2+1))
-1⋅(4x(2×2+1))
Rewrite -1⋅(4x(2×2+1)) as -(4x(2×2+1)).
-(4x(2×2+1))
Apply the distributive property.
-(4x(2×2)+4x⋅1)
Simplify the expression.
Rewrite using the commutative property of multiplication.
-(4⋅2(x⋅x2)+4x⋅1)
Multiply 4 by 1.
-(4⋅2(x⋅x2)+4x)
-(4⋅2(x⋅x2)+4x)
-(4⋅2(x⋅x2)+4x)
Simplify each term.
Multiply x by x2 by adding the exponents.
Multiply x by x2.
Raise x to the power of 1.
-(4⋅2(x1x2)+4x)
Use the power rule aman=am+n to combine exponents.
-(4⋅2×1+2+4x)
-(4⋅2×1+2+4x)
Add 1 and 2.
-(4⋅2×3+4x)
-(4⋅2×3+4x)
Multiply 4 by 2.
-(8×3+4x)
-(8×3+4x)
Simplify by multiplying through.
Apply the distributive property.
-(8×3)-(4x)
Multiply.
Multiply 8 by -1.
-8×3-(4x)
Multiply 4 by -1.
-8×3-4x
-8×3-4x
-8×3-4x
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