# Simplify (c+5)(c+2)(c-2) (c+5)(c+2)(c-2)
Expand (c+5)(c+2) using the FOIL Method.
Apply the distributive property.
(c(c+2)+5(c+2))(c-2)
Apply the distributive property.
(c⋅c+c⋅2+5(c+2))(c-2)
Apply the distributive property.
(c⋅c+c⋅2+5c+5⋅2)(c-2)
(c⋅c+c⋅2+5c+5⋅2)(c-2)
Simplify and combine like terms.
Simplify each term.
Multiply c by c.
(c2+c⋅2+5c+5⋅2)(c-2)
Move 2 to the left of c.
(c2+2⋅c+5c+5⋅2)(c-2)
Multiply 5 by 2.
(c2+2c+5c+10)(c-2)
(c2+2c+5c+10)(c-2)
Add 2c and 5c.
(c2+7c+10)(c-2)
(c2+7c+10)(c-2)
Expand (c2+7c+10)(c-2) by multiplying each term in the first expression by each term in the second expression.
c2c+c2⋅-2+7c⋅c+7c⋅-2+10c+10⋅-2
Simplify terms.
Simplify each term.
Multiply c2 by c by adding the exponents.
Multiply c2 by c.
Raise c to the power of 1.
c2c1+c2⋅-2+7c⋅c+7c⋅-2+10c+10⋅-2
Use the power rule aman=am+n to combine exponents.
c2+1+c2⋅-2+7c⋅c+7c⋅-2+10c+10⋅-2
c2+1+c2⋅-2+7c⋅c+7c⋅-2+10c+10⋅-2
Add 2 and 1.
c3+c2⋅-2+7c⋅c+7c⋅-2+10c+10⋅-2
c3+c2⋅-2+7c⋅c+7c⋅-2+10c+10⋅-2
Move -2 to the left of c2.
c3-2⋅c2+7c⋅c+7c⋅-2+10c+10⋅-2
Multiply c by c by adding the exponents.
Move c.
c3-2c2+7(c⋅c)+7c⋅-2+10c+10⋅-2
Multiply c by c.
c3-2c2+7c2+7c⋅-2+10c+10⋅-2
c3-2c2+7c2+7c⋅-2+10c+10⋅-2
Multiply -2 by 7.
c3-2c2+7c2-14c+10c+10⋅-2
Multiply 10 by -2.
c3-2c2+7c2-14c+10c-20
c3-2c2+7c2-14c+10c-20
Simplify by adding terms.
Add -2c2 and 7c2.
c3+5c2-14c+10c-20
Add -14c and 10c.
c3+5c2-4c-20
c3+5c2-4c-20
c3+5c2-4c-20
Simplify (c+5)(c+2)(c-2)

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