Question

Use the binomial squares pattern to multiply (7m−7n)²

Answer 1

To multiply (7m-7n)² using the binomial squares pattern, apply (a-b)² = a² - 2ab + b² to get the result 49m² - 98mn + 49n².

Step-by-step explanation:

To use the binomial squares pattern to multiply (7m−7n)², we apply the square of a binomial formula: (a-b)² = a² - 2ab + b². In this case, a is 7m and b is 7n. Applying the formula:

• a² becomes (7m)², which is 49m².
• -2ab becomes -2(7m)(7n), which simplifies to -98mn.
• b² becomes (7n)², which is 49n².

Combining these, we get the result: (7m−7n)² = 49m² - 98mn + 49n².