how can you factor the expression 81m²-4n²?what is the first step?
Share
how can you factor the expression 81m²-4n²?what is the first step?
Sign Up to our social questions and Answers Engine to ask questions, answer people’s questions, and connect with other people.
Login to our social questions & Answers Engine to ask questions answer people’s questions & connect with other people.
Answer:
(9m + 2n)(9m - 2n)
Step-by-step explanation:
Formula of difference of two squares
x² - y² = (x + y)(x - y)
To help you recognize the difference of two squares, consider the following:
• There must be two terms that are both perfect squares.
• One of the two terms is negative.
• Thus, the difference of two squares can be express as x² - y²
Example: 81m² - 4n²
Since we know the square root of 81 is 9 and the square root of 4 is 2, we can rewrite the expression as:
9²m² - 2²n²
Now apply the formula
x² - y² = (x + y)(x - y)
Therefore,
9²m² - 2²n² = (9m + 2n)(9m - 2n)