Multiply the radical expression. Express numb $$ (\sqrt{u}-9)(\sqrt{u}-8)=\square $$

Question

UpStudy AI · Accepted Answer

To multiply the expression $$(\sqrt{u} - 9)(\sqrt{u} - 8)$$, you can use the distributive property (also known as the FOIL method for binomials):

$$
(\sqrt{u} - 9)(\sqrt{u} - 8)
$$

**Step 1: Multiply the first terms**
$$
\sqrt{u} \times \sqrt{u} = u
$$

**Step 2: Multiply the outer terms**
$$
\sqrt{u} \times (-8) = -8\sqrt{u}
$$

**Step 3: Multiply the inner terms**
$$
-9 \times \sqrt{u} = -9\sqrt{u}
$$

**Step 4: Multiply the last terms**
$$
-9 \times (-8) = 72
$$

**Combine all the terms:**
$$
u - 8\sqrt{u} - 9\sqrt{u} + 72
$$

**Simplify like terms:**
$$
u - 17\sqrt{u} + 72
$$

**Final Answer:**
$$
(\sqrt{u} - 9)(\sqrt{u} - 8) = u - 17\sqrt{u} + 72
$$
$$ (\sqrt{u} - 9)(\sqrt{u} - 8) = u - 17\sqrt{u} + 72 $$

Multiply the radical expression. Express numb \( (\sqrt{u}-9)(\sqrt{u}-8)=\square \)