Simplify (2t-7)(t-5)

$(2 t - 7) (t - 5)$

Step 1

Expand $(2 t - 7) (t - 5)$ using the FOIL Method.

Apply the distributive property.

$2 t (t - 5) - 7 (t - 5)$

Apply the distributive property.

$2 t \cdot t + 2 t \cdot - 5 - 7 (t - 5)$

Apply the distributive property.

$2 t \cdot t + 2 t \cdot - 5 - 7 t - 7 \cdot - 5$

Step 2

Simplify and combine like terms.

Simplify each term.

Multiply $t$ by $t$ by adding the exponents.

Move $t$ .

$2 (t \cdot t) + 2 t \cdot - 5 - 7 t - 7 \cdot - 5$

Multiply $t$ by $t$ .

$2 t^{2} + 2 t \cdot - 5 - 7 t - 7 \cdot - 5$

Multiply $- 5$ by $2$ .

$2 t^{2} - 10 t - 7 t - 7 \cdot - 5$

Multiply $- 7$ by $- 5$ .

$2 t^{2} - 10 t - 7 t + 35$

Subtract $7 t$ from $- 10 t$ .

$2 t^{2} - 17 t + 35$