Top

Equivalent Expressions Calculator
Top
Equivalent expression is said to be equivalent if two algebraic expressions are equalized by substituting the values of the variables. We use the symbol “ = “ or “ $\equiv$ “ to denote the equivalent expression.

Equivalent Expressions Calculator is used to find the equivalent expressions when two algebraic expressions are equivalent.

An expression is given below as a default input for this calculator. By applying distributive property and expanding the expression, get the simplified expression on clicking "Submit".
 

Step by Step Calculation

Back to Top
Step 1 :  

Observe the given expressions and expand the expression using distributive property.



Step 2 :  

Simplify the expression to get the answer.



Example Problems

Back to Top
  1. Find the equivalent expression for this: 3y(x + 9)


    Step 1 :  

    The given algebra expression is 3y(x + 9)




    Now we need to expand by applying distributive property.



    Step 2 :  

    So, 3y(x + 9) = 3y • x + 3y • 9




                        = 3xy + 27y




    Therefore, 3y(x + 9) $\equiv$ 3xy + 27y.



    Answer  :  

    3xy + 27y.



  2. Find the equivalent expression for this: (x + 4)(x + 3)


    Step 1 :  

    The given algebra expression is (x + 4)(x + 3)




    Now we need to expand by applying distributive property.



    Step 2 :  

    So, (x + 4)(x + 3) = x • (x + 3) + 4 • (x + 3)

                               = x • x + x • 3 + 4 • x + 4 • 3

                               = x2 + 3x + 4x + 12

                               = x2 + 7x + 12

    Therefore, (x + 4)(x + 3) $\equiv$ x2 + 7x + 12.



    Answer  :  

    x2 + 7x + 12.



*AP and SAT are registered trademarks of the College Board.