Simplify 8(5x-9)+4x(x-2)

$8 (5 x - 9) + 4 x (x - 2)$

Step 1

Simplify each term.

Apply the distributive property.

$8 (5 x) + 8 \cdot - 9 + 4 x (x - 2)$

Multiply $5$ by $8$ .

$40 x + 8 \cdot - 9 + 4 x (x - 2)$

Multiply $8$ by $- 9$ .

$40 x - 72 + 4 x (x - 2)$

Apply the distributive property.

$40 x - 72 + 4 x \cdot x + 4 x \cdot - 2$

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

Move $x$ .

$40 x - 72 + 4 (x \cdot x) + 4 x \cdot - 2$

Multiply $x$ by $x$ .

$40 x - 72 + 4 x^{2} + 4 x \cdot - 2$

$40 x - 72 + 4 x^{2} + 4 x \cdot - 2$

Multiply $- 2$ by $4$ .

$40 x - 72 + 4 x^{2} - 8 x$

$40 x - 72 + 4 x^{2} - 8 x$

Step 2

Simplify by adding terms.

Subtract $8 x$ from $40 x$ .

$32 x - 72 + 4 x^{2}$

Simplify the expression.

Move $- 72$ .

$32 x + 4 x^{2} - 72$

Reorder $32 x$ and $4 x^{2}$ .

$4 x^{2} + 32 x - 72$

$4 x^{2} + 32 x - 72$

$4 x^{2} + 32 x - 72$

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