The product of two consecutive odd integers is 1023. find the integers

The integers are

-33 and -31 or 31 and 33

Step-by-step explanation:

Let

x ----> the first odd integer

x+2 ----> the second consecutive odd integer

we know that

Apply distributive property left side

Solve the quadratic equation by graphing

using a graphing tool

The solutions are x=-33 and x=31

see the attached figure

so

For x=-33

x+2=-33+2=-31

For x=31

x+2=31+2=33

Verify

----> is ok

----> is ok

therefore

The integers are

-33 and -31 or 31 and 33

the simplified form is

step-by-step explanation:

we want to simplify the expression,

let us change the middle bar to a normal division sign to obtain,

we multiply the first fraction by the reciprocal of the second fraction to obtain,

we factor to obtain,

we cancel the common factors to get,

we simplify to get,

the correct answer is b