O. Prove that the following expressions are frue, by using the distribultre propeny
a.
b.
c.

Use zero as the idenify element of addifion and

Ask by Reeves Higgins. in South Africa

Jan 23,2025

Question

O. Prove that the following expressions are frue, by using the distribultre propeny
a.
b.
c.

Use zero as the idenify element of addifion and

Ask by Reeves Higgins. in South Africa

Jan 23,2025

UpStudy AI · Accepted Answer

To prove the given expressions using the distributive property, we will apply the property that states:

$$
a \times (b + c) = (a \times b) + (a \times c)
$$

Let's go through each expression step by step.

### a. Prove that $$ m \times (n + p) = (m \times n) + (m \times p) $$

1. Start with the left side: $$ m \times (n + p) $$.
2. By the distributive property, we can expand this as:
   $$
   m \times (n + p) = (m \times n) + (m \times p)
   $$
3. Therefore, the expression is true.

### b. Prove that $$ d = (z + h) = (d, z) + (d + h) $$

This expression seems to have a typographical error. It should likely be $$ d \times (z + h) = (d \times z) + (d \times h) $$. Assuming this correction, we proceed:

1. Start with the left side: $$ d \times (z + h) $$.
2. By the distributive property, we can expand this as:
   $$
   d \times (z + h) = (d \times z) + (d \times h)
   $$
3. Therefore, the expression is true.

### c. Prove that $$ r \times (s + t) = (r \times s) + (r \times t) $$

1. Start with the left side: $$ r \times (s + t) $$.
2. By the distributive property, we can expand this as:
   $$
   r \times (s + t) = (r \times s) + (r \times t)
   $$
3. Therefore, the expression is true.

### Conclusion

All three expressions have been proven true using the distributive property. The key steps involved applying the property correctly to expand the left-hand side of each equation into the right-hand side.
All three expressions are true based on the distributive property. a. $$ m \times (n + p) = (m \times n) + (m \times p) $$ b. $$ d \times (z + h) = (d \times z) + (d \times h) $$ c. $$ r \times (s + t) = (r \times s) + (r \times t) $$

O. Prove that the following expressions are frue, by using the distribultre propeny
a.
b.
c.

Use zero as the idenify element of addifion and

Solución de inteligencia artificial de Upstudy

Responder

Solución

a. Prove that

b. Prove that

c. Prove that

Conclusion

Beyond the Answer

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Latest Algebra Questions

O. Prove that the following expressions are frue, by using the distribultre propeny a. b. c. Use zero as the idenify element of addifion and

Solución de inteligencia artificial de Upstudy

Responder

Solución

a. Prove that

b. Prove that

c. Prove that

Conclusion

Beyond the Answer

preguntas relacionadas

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O. Prove that the following expressions are frue, by using the distribultre propeny
a.
b.
c.

Use zero as the idenify element of addifion and