Simplify (r-0)*(r-5)*(r+1)

(r-0)⋅(r-5)⋅(r+1)
Simplify by multiplying through.
Subtract 0 from r.
r⋅(r-5)⋅(r+1)
Apply the distributive property.
(r⋅r+r⋅-5)⋅(r+1)
Simplify the expression.
Multiply r by r.
(r2+r⋅-5)⋅(r+1)
Move -5 to the left of r.
(r2-5⋅r)⋅(r+1)
(r2-5⋅r)⋅(r+1)
(r2-5⋅r)⋅(r+1)
Expand (r2-5r)(r+1) using the FOIL Method.
Apply the distributive property.
r2(r+1)-5r(r+1)
Apply the distributive property.
r2r+r2⋅1-5r(r+1)
Apply the distributive property.
r2r+r2⋅1-5r⋅r-5r⋅1
r2r+r2⋅1-5r⋅r-5r⋅1
Simplify and combine like terms.
Simplify each term.
Multiply r2 by r by adding the exponents.
Multiply r2 by r.
Raise r to the power of 1.
r2r1+r2⋅1-5r⋅r-5r⋅1
Use the power rule aman=am+n to combine exponents.
r2+1+r2⋅1-5r⋅r-5r⋅1
r2+1+r2⋅1-5r⋅r-5r⋅1
r3+r2⋅1-5r⋅r-5r⋅1
r3+r2⋅1-5r⋅r-5r⋅1
Multiply r2 by 1.
r3+r2-5r⋅r-5r⋅1
Multiply r by r by adding the exponents.
Move r.
r3+r2-5(r⋅r)-5r⋅1
Multiply r by r.
r3+r2-5r2-5r⋅1
r3+r2-5r2-5r⋅1
Multiply -5 by 1.
r3+r2-5r2-5r
r3+r2-5r2-5r
Subtract 5r2 from r2.
r3-4r2-5r
r3-4r2-5r
Simplify (r-0)*(r-5)*(r+1)

Solving MATH problems

We can solve all math problems. Get help on the web or with our math app

Scroll to top