Q. Which expression is equivalent to the expression below?p+p+p+p4p44pp4
Given Expression: We are given the expression p+p+p+p, which is a sum of four identical terms (p).To simplify this expression, we can use the distributive property of multiplication over addition, which states that a(b+c+d+...)=ab+ac+ad+....In this case, we have four p's being added together, so we can write this as 4 times p, or 4p.Calculation: p+p+p+p=4p
Simplify Using Distributive Property: Now, we need to check the given options to see which one is equivalent to our simplified expression 4p.Option 1: 4p - This is exactly what we have calculated.Option 2: 4 - This is just a number without the variable p, so it cannot be equivalent to an expression with p.Option 3: 4p - This is p divided by 4, which is not the same as 4 times p.Option 4: 4p0 - This represents p raised to the power of 4, which is not the same as 4 times p.
More problems from Simplify radical expressions with root inside the root