QUESTION $$ 2 \cdot 1 $$ POINT Factor $$ x y+7 y+4 \dot{x}+28 $$ by grouping.

Question

UpStudy AI · Accepted Answer

To factor the expression $$ xy + 7y + 4\dot{x} + 28 $$ by grouping, we can follow these steps:

1. **Group the terms**: We can group the first two terms and the last two terms:
   $$
   (xy + 7y) + (4\dot{x} + 28)
   $$

2. **Factor out the common factors in each group**:
   - In the first group $$ xy + 7y $$, we can factor out $$ y $$:
     $$
     y(x + 7)
     $$
   - In the second group $$ 4\dot{x} + 28 $$, we can factor out $$ 4 $$:
     $$
     4(\dot{x} + 7)
     $$

3. **Rewrite the expression**: Now we can rewrite the expression using the factored groups:
   $$
   y(x + 7) + 4(\dot{x} + 7)
   $$

4. **Notice the common factor**: We can see that both terms contain a common factor of $$ (x + 7) $$:
   $$
   y(x + 7) + 4(x + 7)
   $$

5. **Factor out the common factor**:
   $$
   (x + 7)(y + 4)
   $$

Thus, the factored form of the expression $$ xy + 7y + 4\dot{x} + 28 $$ is:
$$
(x + 7)(y + 4)
$$
The factored form is $$ (x + 7)(y + 4) $$.

QUESTION POINT
Factor by grouping.

Upstudy AI Solution

Answer

Solution

Extra Insights

Related Questions

Latest Algebra Questions

QUESTION POINT Factor by grouping.