Question

Which of the following is equivalent to (n-3)(n-5)

a. n to the power of 2-8n+15
b. n to the power of 2+8-15
c. n to the power of 2-8n-15
d. n to the power of 2-15n+8

Answer 1

By expanding the product (n-3)(n-5) using the FOIL method, the equivalent expression is determined to be 'a. n to the power of 2-8n+15'. Option a.

Step-by-step explanation:

The question asks us to expand the product of two binomial expressions (n-3)(n-5). To find the equivalent expression, we need to use the distributive property or FOIL (First, Outside, Inside, Last) method to expand the binomials:

First, multiply the first terms: n × n = n².

Outside, multiply the outer terms: n × -5 = -5n.

Inside, multiply the inner terms: -3 × n = -3n.

Last, multiply the last terms: -3 × -5 = +15.

Combine like terms (-5n and -3n):

n² - 5n - 3n + 15

n² - 8n + 15

Therefore, the correct answer is 'a. n to the power of 2-8n+15'.