Simplify (5x^2+x-4)(x+2)

$(5 x^{2} + x - 4) (x + 2)$

Step 1

Expand $(5 x^{2} + x - 4) (x + 2)$ by multiplying each term in the first expression by each term in the second expression.

$5 x^{2} x + 5 x^{2} \cdot 2 + x \cdot x + x \cdot 2 - 4 x - 4 \cdot 2$

Step 2

Simplify terms.

Simplify each term.

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

Move $x$ .

$5 (x \cdot x^{2}) + 5 x^{2} \cdot 2 + x \cdot x + x \cdot 2 - 4 x - 4 \cdot 2$

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

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

$5 (x^{1} x^{2}) + 5 x^{2} \cdot 2 + x \cdot x + x \cdot 2 - 4 x - 4 \cdot 2$

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

$5 x^{1 + 2} + 5 x^{2} \cdot 2 + x \cdot x + x \cdot 2 - 4 x - 4 \cdot 2$

Add $1$ and $2$ .

$5 x^{3} + 5 x^{2} \cdot 2 + x \cdot x + x \cdot 2 - 4 x - 4 \cdot 2$

Multiply $2$ by $5$ .

$5 x^{3} + 10 x^{2} + x \cdot x + x \cdot 2 - 4 x - 4 \cdot 2$

Multiply $x$ by $x$ .

$5 x^{3} + 10 x^{2} + x^{2} + x \cdot 2 - 4 x - 4 \cdot 2$

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

$5 x^{3} + 10 x^{2} + x^{2} + 2 \cdot x - 4 x - 4 \cdot 2$

Multiply $- 4$ by $2$ .

$5 x^{3} + 10 x^{2} + x^{2} + 2 x - 4 x - 8$

Simplify by adding terms.

Add $10 x^{2}$ and $x^{2}$ .

$5 x^{3} + 11 x^{2} + 2 x - 4 x - 8$

Subtract $4 x$ from $2 x$ .

$5 x^{3} + 11 x^{2} - 2 x - 8$