Simplify (2p+3)2 - (2p-3)2 (give proper detailed answer with all steps)

Step-by-step explanation:

There's a very useful pattern in factoring and multiplying binomials called a difference of squares, and it looks like this:

We can use this difference of squares to factor the expression we've been given, setting and to obtain the expression

(1)

tackling each of the multiplicands on the right:

(Left)

(Right)

This simplifies the expression on the right of (1) to , or simply .

90

step-by-step explanation:

a complex number is a number that can be expressed in the form a + bi, where a and b are real numbers, and i is a solution of the equation x2 = −1. because no real number satisfies this equation, i is called an imaginary number. has no real solution, since the square of a real number cannot be negative.