Simplify (4x-3)(x+5)

$(4 x - 3) (x + 5)$

Step 1

Expand $(4 x - 3) (x + 5)$ using the FOIL Method.

Apply the distributive property.

$4 x (x + 5) - 3 (x + 5)$

Apply the distributive property.

$4 x \cdot x + 4 x \cdot 5 - 3 (x + 5)$

Apply the distributive property.

$4 x \cdot x + 4 x \cdot 5 - 3 x - 3 \cdot 5$

$4 x \cdot x + 4 x \cdot 5 - 3 x - 3 \cdot 5$

Step 2

Simplify and combine like terms.

Simplify each term.

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

Move $x$ .

$4 (x \cdot x) + 4 x \cdot 5 - 3 x - 3 \cdot 5$

Multiply $x$ by $x$ .

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

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

Multiply $5$ by $4$ .

$4 x^{2} + 20 x - 3 x - 3 \cdot 5$

Multiply $- 3$ by $5$ .

$4 x^{2} + 20 x - 3 x - 15$

$4 x^{2} + 20 x - 3 x - 15$

Subtract $3 x$ from $20 x$ .

$4 x^{2} + 17 x - 15$

$4 x^{2} + 17 x - 15$

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