Category: Algebra
"Published in Newark, California, USA"
Find the factors for
Solution:
Consider the given equation above
We can rewrite the above equation as
Since each term is a perfect square and the other term is negative, then the given binomial can be factored by the difference of two squares. Therefore, the factors are
The middle term that contains xc will be equal to zero.
Category: Algebra
"Published in Newark, California, USA"
Write the product as a group of two terms for
Solution:
Consider the given equation above
Since each factor consists of four terms, then it is a long method to get the product of two polynomials by using Distributive Property of Multiplication Over Addition. We can get the product of two polynomials above by grouping of two terms into one group. Let's group the above equation and then get the product as follows
Since (2x - 3y) and (a - b) are consider as one term, then we can apply the product of two binomials for the above equation as follows
Without expanding each grouped terms, the final answer is
Category: Algebra
"Published in Newark, California, USA"
Write the product by inspection:
Solution:
Consider the given equation above
In order to get the product of two trinomials, we need to do the Distributive Property of Multiplication over Addition as follows
Another way in getting the product of two trinomials is by grouping of the terms into one group. Let's group the given equation and then get the product as follows
Since (4a - 2b) is consider as one term, then we can apply the product of two binomials for the above equation as follows
Expand and simplify the above equation, we have
The above answer is exactly the same by using the first method.
