Question
Simplify the expression
12−8x3+x4+x5
Evaluate
12−(x2×x)(8−x−x2)
Remove the parentheses
12−x2×x(8−x−x2)
Multiply
More Steps

Multiply the terms
x2×x(8−x−x2)
Multiply the terms with the same base by adding their exponents
x2+1(8−x−x2)
Add the numbers
x3(8−x−x2)
12−x3(8−x−x2)
Solution
More Steps

Evaluate
−x3(8−x−x2)
Apply the distributive property
−x3×8−(−x3×x)−(−x3×x2)
Use the commutative property to reorder the terms
−8x3−(−x3×x)−(−x3×x2)
Multiply the terms
More Steps

Evaluate
x3×x
Use the product rule an×am=an+m to simplify the expression
x3+1
Add the numbers
x4
−8x3−(−x4)−(−x3×x2)
Multiply the terms
More Steps

Evaluate
x3×x2
Use the product rule an×am=an+m to simplify the expression
x3+2
Add the numbers
x5
−8x3−(−x4)−(−x5)
If a negative sign or a subtraction symbol appears outside parentheses, remove the parentheses and change the sign of every term within the parentheses
−8x3+x4+x5
12−8x3+x4+x5
Show Solution
