Simplify (r-3)(2r^2-5)

Math
(r-3)(2r2-5)
Expand (r-3)(2r2-5) using the FOIL Method.
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Apply the distributive property.
r(2r2-5)-3(2r2-5)
Apply the distributive property.
r(2r2)+r⋅-5-3(2r2-5)
Apply the distributive property.
r(2r2)+r⋅-5-3(2r2)-3⋅-5
r(2r2)+r⋅-5-3(2r2)-3⋅-5
Simplify terms.
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Simplify each term.
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Rewrite using the commutative property of multiplication.
2r⋅r2+r⋅-5-3(2r2)-3⋅-5
Multiply r by r2 by adding the exponents.
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Move r2.
2(r2r)+r⋅-5-3(2r2)-3⋅-5
Multiply r2 by r.
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Raise r to the power of 1.
2(r2r1)+r⋅-5-3(2r2)-3⋅-5
Use the power rule aman=am+n to combine exponents.
2r2+1+r⋅-5-3(2r2)-3⋅-5
2r2+1+r⋅-5-3(2r2)-3⋅-5
Add 2 and 1.
2r3+r⋅-5-3(2r2)-3⋅-5
2r3+r⋅-5-3(2r2)-3⋅-5
Move -5 to the left of r.
2r3-5⋅r-3(2r2)-3⋅-5
Multiply 2 by -3.
2r3-5r-6r2-3⋅-5
Multiply -3 by -5.
2r3-5r-6r2+15
2r3-5r-6r2+15
Move -5r.
2r3-6r2-5r+15
2r3-6r2-5r+15
Simplify (r-3)(2r^2-5)

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