Question

i want to know what is ment by the perfect square.
in equations such as:
4x^2+2(2x)(3b)+9b^2
and x^2+2(x)(4)+4^2

Answer 1

A perfect square is a number that is equal to a whole number (or whole number times variable) squared. For example, 64 and 16x^4 are perfect squares because 64 = 8^2 and 16x^4 = (4x^2)^2

Answer 2

In the above equations, 4x^2, 9b^2, x^2, and 4^2 are all perfect squares, since when you take the square roots of them you get either an integer or a variable with an integer coefficient.

Answer 3

Similarly, perfect cubes, perfect powers of 4, etc are the same thing for the cubic root, 4th root, etc

For example, 8 = 2^3 is a perfect cube and 81 = 3^4 is a perfect 4th power

Answer 4

a perfect square is a binomal multiplied by itself e.g (2x + 5)(2x5) can be written (2x+5)^2

Answer 5

Campbell is referring to perfect square trinomials, which are 3-term polynomials that can be factored into the square of a single binomial.

Answer 6

Ex.: 4x^2 + 12x + 9 = (2x + 3)^2

Answer 7

can you complete this square in detail for me plz?
(x+h)^2+R
and explain the minimum and maximum value thing?

Answer 8

Well, (x+h)^2 = (x+h)(x+h)
To do this, you multiply each pair of terms together and add them all up. So you get x*x + x*h + h*x + h*h = x^2 + 2xh + h^2

So (x+h)^2 + R = x^2 + h^2 + 2xh + R

I'm not sure what you mean by minimum and maximum value - can you give me more info?

(I also have to drive home soon, so I won't be able to do any more answers right away)