Simplify 2x-(2x+3)^2+4(x-1)+x^3

$2 x - {(2 x + 3)}^{2} + 4 (x - 1) + x^{3}$

Step 1

Simplify each term.

Rewrite ${(2 x + 3)}^{2}$ as $(2 x + 3) (2 x + 3)$ .

$2 x - ((2 x + 3) (2 x + 3)) + 4 (x - 1) + x^{3}$

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

Apply the distributive property.

$2 x - (2 x (2 x + 3) + 3 (2 x + 3)) + 4 (x - 1) + x^{3}$

Apply the distributive property.

$2 x - (2 x (2 x) + 2 x \cdot 3 + 3 (2 x + 3)) + 4 (x - 1) + x^{3}$

Apply the distributive property.

$2 x - (2 x (2 x) + 2 x \cdot 3 + 3 (2 x) + 3 \cdot 3) + 4 (x - 1) + x^{3}$

Simplify and combine like terms.

Simplify each term.

Rewrite using the commutative property of multiplication.

$2 x - (2 \cdot 2 x \cdot x + 2 x \cdot 3 + 3 (2 x) + 3 \cdot 3) + 4 (x - 1) + x^{3}$

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

Move $x$ .

$2 x - (2 \cdot 2 (x \cdot x) + 2 x \cdot 3 + 3 (2 x) + 3 \cdot 3) + 4 (x - 1) + x^{3}$

Multiply $x$ by $x$ .

$2 x - (2 \cdot 2 x^{2} + 2 x \cdot 3 + 3 (2 x) + 3 \cdot 3) + 4 (x - 1) + x^{3}$

Multiply $2$ by $2$ .

$2 x - (4 x^{2} + 2 x \cdot 3 + 3 (2 x) + 3 \cdot 3) + 4 (x - 1) + x^{3}$

Multiply $3$ by $2$ .

$2 x - (4 x^{2} + 6 x + 3 (2 x) + 3 \cdot 3) + 4 (x - 1) + x^{3}$

Multiply $2$ by $3$ .

$2 x - (4 x^{2} + 6 x + 6 x + 3 \cdot 3) + 4 (x - 1) + x^{3}$

Multiply $3$ by $3$ .

$2 x - (4 x^{2} + 6 x + 6 x + 9) + 4 (x - 1) + x^{3}$

Add $6 x$ and $6 x$ .

$2 x - (4 x^{2} + 12 x + 9) + 4 (x - 1) + x^{3}$

Apply the distributive property.

$2 x - (4 x^{2}) - (12 x) - 1 \cdot 9 + 4 (x - 1) + x^{3}$

Simplify.

Multiply $4$ by $- 1$ .

$2 x - 4 x^{2} - (12 x) - 1 \cdot 9 + 4 (x - 1) + x^{3}$

Multiply $12$ by $- 1$ .

$2 x - 4 x^{2} - 12 x - 1 \cdot 9 + 4 (x - 1) + x^{3}$

Multiply $- 1$ by $9$ .

$2 x - 4 x^{2} - 12 x - 9 + 4 (x - 1) + x^{3}$

Apply the distributive property.

$2 x - 4 x^{2} - 12 x - 9 + 4 x + 4 \cdot - 1 + x^{3}$

Multiply $4$ by $- 1$ .

$2 x - 4 x^{2} - 12 x - 9 + 4 x - 4 + x^{3}$

Step 2

Simplify by adding terms.

Subtract $12 x$ from $2 x$ .

$- 4 x^{2} - 10 x - 9 + 4 x - 4 + x^{3}$

Add $- 10 x$ and $4 x$ .

$- 4 x^{2} - 6 x - 9 - 4 + x^{3}$

Simplify the expression.

Subtract $4$ from $- 9$ .

$- 4 x^{2} - 6 x - 13 + x^{3}$

Move $- 13$ .

$- 4 x^{2} - 6 x + x^{3} - 13$

Move $- 6 x$ .

$- 4 x^{2} + x^{3} - 6 x - 13$

Reorder $- 4 x^{2}$ and $x^{3}$ .

$x^{3} - 4 x^{2} - 6 x - 13$

Simplify 2x-(2x+3)^2+4(x-1)+x^3

Related Questions

Support LCMGCF.com by disabling your adblocker.