Find the Product (x-3)(x+2)(x+4)

$(x - 3) (x + 2) (x + 4)$

Expand $(x - 3) (x + 2)$ using the FOIL Method.

Apply the distributive property.

$(x (x + 2) - 3 (x + 2)) (x + 4)$

Apply the distributive property.

$(x \cdot x + x \cdot 2 - 3 (x + 2)) (x + 4)$

Apply the distributive property.

$(x \cdot x + x \cdot 2 - 3 x - 3 \cdot 2) (x + 4)$

Simplify and combine like terms.

Simplify each term.

Multiply $x$ by $x$ .

$(x^{2} + x \cdot 2 - 3 x - 3 \cdot 2) (x + 4)$

Move $2$ to the left of $x$ .

$(x^{2} + 2 \cdot x - 3 x - 3 \cdot 2) (x + 4)$

Multiply $- 3$ by $2$ .

$(x^{2} + 2 x - 3 x - 6) (x + 4)$

Subtract $3 x$ from $2 x$ .

$(x^{2} - x - 6) (x + 4)$

Expand $(x^{2} - x - 6) (x + 4)$ by multiplying each term in the first expression by each term in the second expression.

$x^{2} x + x^{2} \cdot 4 - x \cdot x - x \cdot 4 - 6 x - 6 \cdot 4$

Simplify terms.

Simplify each term.

Multiply $x^{2}$ by $x$ by adding the exponents.

Multiply $x^{2}$ by $x$ .

Raise $x$ to the power of $1$ .

$x^{2} x^{1} + x^{2} \cdot 4 - x \cdot x - x \cdot 4 - 6 x - 6 \cdot 4$

Use the power rule $a^{m} a^{n} = a^{m + n}$ to combine exponents.

$x^{2 + 1} + x^{2} \cdot 4 - x \cdot x - x \cdot 4 - 6 x - 6 \cdot 4$

Add $2$ and $1$ .

$x^{3} + x^{2} \cdot 4 - x \cdot x - x \cdot 4 - 6 x - 6 \cdot 4$

Move $4$ to the left of $x^{2}$ .

$x^{3} + 4 \cdot x^{2} - x \cdot x - x \cdot 4 - 6 x - 6 \cdot 4$

Multiply $x$ by $x$ by adding the exponents.

Move $x$ .

$x^{3} + 4 x^{2} - (x \cdot x) - x \cdot 4 - 6 x - 6 \cdot 4$

Multiply $x$ by $x$ .

$x^{3} + 4 x^{2} - x^{2} - x \cdot 4 - 6 x - 6 \cdot 4$

Multiply $4$ by $- 1$ .

$x^{3} + 4 x^{2} - x^{2} - 4 x - 6 x - 6 \cdot 4$

Multiply $- 6$ by $4$ .

$x^{3} + 4 x^{2} - x^{2} - 4 x - 6 x - 24$

Simplify by adding terms.

Subtract $x^{2}$ from $4 x^{2}$ .

$x^{3} + 3 x^{2} - 4 x - 6 x - 24$

Subtract $6 x$ from $- 4 x$ .

$x^{3} + 3 x^{2} - 10 x - 24$

Find the Product (x-3)(x+2)(x+4)

Related Questions

Support LCMGCF.com by disabling your adblocker.