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Problem 357

# Factor $$x(y+z)+u(y+z)$$

Expert verified
The factored form of the expression $$x(y+z)+u(y+z)$$ is $$(y+z)(x+u)$$.
See the step by step solution

## Step 1: In the expression $$x(y+z)+u(y+z)$$, we can see that both terms have a common factor of $$(y+z)$$. #Step 2: Apply the distributive property#

Since both terms have a common factor of $$(y+z)$$, we can factor it out by applying the distributive property. We get: $$(y+z)(x+u)$$ Now, we have factored the given expression. The factored form of the expression is: $$(y+z)(x+u)$$

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