If the first terms in each factor are alike:
This still holds true if the coefficients of the first term are not :
Square of an Expression With Two Terms
Square of an Expression With Three Terms
Consider the rule . As may have any value, replace it with :
The rules for signs in the distributed expression are:
The individual squares are always positive!
The double of a combination of two terms is negative when any of its terms is negative!
Cube of an Expression With Two Terms
Negative Expressions With Exponents
Distribute the expression according to the exponent before applying the negation:
Multiplication of Monomial Expressions
Product of Sum and Difference
The product of the sum and the difference of two numbers always reduces to the difference of their squares.