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

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

Simplify each term.

Apply the distributive property.

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

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

Move $x$ .

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

Multiply $x$ by $x$ .

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

Multiply $3$ by $4$ .

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

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

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

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

Apply the distributive property.

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

Apply the distributive property.

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

Apply the distributive property.

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

Simplify and combine like terms.

Simplify each term.

Rewrite using the commutative property of multiplication.

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

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

Move $x$ .

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

Multiply $x$ by $x$ .

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

Multiply $2$ by $2$ .

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

Multiply $- 3$ by $2$ .

$4 x^{2} + 12 x - (4 x^{2} - 6 x - 3 (2 x) - 3 \cdot - 3)$

Multiply $2$ by $- 3$ .

$4 x^{2} + 12 x - (4 x^{2} - 6 x - 6 x - 3 \cdot - 3)$

Multiply $- 3$ by $- 3$ .

$4 x^{2} + 12 x - (4 x^{2} - 6 x - 6 x + 9)$

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

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

Apply the distributive property.

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

Simplify.

Multiply $4$ by $- 1$ .

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

Multiply $- 12$ by $- 1$ .

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

Multiply $- 1$ by $9$ .

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

Simplify by adding terms.

Combine the opposite terms in $4 x^{2} + 12 x - 4 x^{2} + 12 x - 9$ .

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

$12 x + 0 + 12 x - 9$

Add $12 x$ and $0$ .

$12 x + 12 x - 9$

Add $12 x$ and $12 x$ .

$24 x - 9$

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

Related Questions

Support LCMGCF.com by disabling your adblocker.