Question

the polynomial that represent the product of two consecutive odd integers,the first one being (2x-1)​

Answer 1

Answer:

Step-by-step explanation:

Given  

the polynomial that represent the product of two consecutive odd integers,the first one being (2 x - 1)

ANSWER

Now given first odd number will be 2 x – 1

Therefore second odd number will be 2 x – 1 + 2 = 2 x + 1

Now we need to find the product

  = (2 x – 1)(2 x + 1)

 = (2 x)^2 – 1^2 (because a^2 – b^2 = (a + b)(a – b)

 = 4 x^2 – 1

So required polynomial will be 4 x^2 - 1