Multiply the binomials and simplify. $$ (a+5)(a-11)=\square $$

Question

UpStudy AI · Accepted Answer

To multiply the binomials $$(a + 5)(a - 11)$$, you can use the **FOIL** method (First, Outer, Inner, Last):

1. **First:** Multiply the first terms in each binomial:
   $$
   a \times a = a^2
   $$

2. **Outer:** Multiply the outer terms:
   $$
   a \times (-11) = -11a
   $$

3. **Inner:** Multiply the inner terms:
   $$
   5 \times a = 5a
   $$

4. **Last:** Multiply the last terms in each binomial:
   $$
   5 \times (-11) = -55
   $$

Now, combine all these results:
$$
a^2 - 11a + 5a - 55
$$

Combine the like terms ($$-11a$$ and $$5a$$):
$$
a^2 - 6a - 55
$$

**Final Answer:**
$$
(a + 5)(a - 11) = a^2 - 6a - 55
$$
$$ (a + 5)(a - 11) = a^2 - 6a - 55 $$

Multiply the binomials and simplify. \( (a+5)(a-11)=\square \)