(c+5)(c+2)(c-2)

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 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 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)