Final answer:
To show that two boolean expressions are equivalent using the laws of boolean algebra, apply the laws such as the commutative and distributive laws, and use truth tables to compare their values for all possible input combinations.
Step-by-step explanation:
The question is asking you to use the laws of boolean algebra to show that two boolean expressions are equivalent. To do this, you can apply the laws of boolean algebra, such as the commutative law, the distributive law, and the identity law. You can also use truth tables to compare the values of the two expressions for all possible combinations of input values.
For example, let's say the two expressions are A AND (B OR C) and (A AND B) OR (A AND C). You can show they are equivalent by using the distributive law to expand the second expression and then simplifying the terms.
Once you've applied the laws of boolean algebra and shown that the two expressions have the same truth values for all possible combinations of input values, you can conclude that they are equivalent.