Simplify 4x(3x-7)-19x^2

$4 x (3 x - 7) - 19 x^{2}$

Step 1

Simplify each term.

Apply the distributive property.

$4 x (3 x) + 4 x \cdot - 7 - 19 x^{2}$

Rewrite using the commutative property of multiplication.

$4 \cdot 3 x \cdot x + 4 x \cdot - 7 - 19 x^{2}$

Multiply $- 7$ by $4$ .

$4 \cdot 3 x \cdot x - 28 x - 19 x^{2}$

Simplify each term.

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

Move $x$ .

$4 \cdot 3 (x \cdot x) - 28 x - 19 x^{2}$

Multiply $x$ by $x$ .

$4 \cdot 3 x^{2} - 28 x - 19 x^{2}$

Multiply $4$ by $3$ .

$12 x^{2} - 28 x - 19 x^{2}$

Step 2

Subtract $19 x^{2}$ from $12 x^{2}$ .

$- 7 x^{2} - 28 x$