Simplify (4x+3)(x-7)

$(4 x + 3) (x - 7)$

Step 1

Expand $(4 x + 3) (x - 7)$ using the FOIL Method.

Apply the distributive property.

$4 x (x - 7) + 3 (x - 7)$

Apply the distributive property.

$4 x \cdot x + 4 x \cdot - 7 + 3 (x - 7)$

Apply the distributive property.

$4 x \cdot x + 4 x \cdot - 7 + 3 x + 3 \cdot - 7$

Step 2

Simplify and combine like terms.

Simplify each term.

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

Move $x$ .

$4 (x \cdot x) + 4 x \cdot - 7 + 3 x + 3 \cdot - 7$

Multiply $x$ by $x$ .

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

Multiply $- 7$ by $4$ .

$4 x^{2} - 28 x + 3 x + 3 \cdot - 7$

Multiply $3$ by $- 7$ .

$4 x^{2} - 28 x + 3 x - 21$

Add $- 28 x$ and $3 x$ .

$4 x^{2} - 25 x - 21$