Definition:
In mathematics, a square number, sometimes also called a perfect square, is an integer that is the square of an integer; in other words, it is the product of some integer with itself. So, for example, 9 is a square number, since it can be written as 3 × 3. Square numbers are non-negative. Another way of saying that a (non-negative) number is a square number is that its square root is again an integer. Having problem with Solid Geometry keep reading my upcoming posts, i will try to help you.
Examples
For example 1,
(x + 2)(x + 2)
You get:
x^2 + 4x + 4
Please express your views of this topic hard 7th grade math problems by commenting on blog.
Therefore, the quadratic expression x^2 + 4x + 4 is a perfect square since it factors into two identical binomials which are (x + 2) and (x + 2).
Notice that (x + 2) (x + 2) can be written (x + 2)2. So:
x^2 + 4x + 4 = (x + 2)2
For example 2,
(x + 3)(x + 3)
You get:
x^2 + 6x + 9
Therefore, the quadratic expression x^2 + 6x + 9 is a perfect square since it factors into two identical binomials which are (x + 3) and (x + 3).
Notice that (x + 3) (x + 3) can be written (x + 3)2. So:
x^2 + 6x + 9 = (x + 3)2
For example 3,
(x + 4)(x + 4)
You get:
x^2 + 8x + 16
Therefore, the quadratic expression x^2 + 8x + 16 is a perfect square since it factors into two identical binomials which are (x + 4) and (x + 4).
Notice that (x + 4) (x + 4) can be written (x + 4)2. So:
x^2 + 8x + 16 = (x + 4)2
For example 4,
(x + 5)(x + 5)
You get:
x^2 + 10x + 25
Therefore, the quadratic expression x^2 + 10x + 25 is a perfect square since it factors into two identical binomials which are (x + 5) and (x + 5).
Notice that (x + 5) (x + 5) can be written (x + 5)2. So:
x^2 + 10x + 25 = (x + 5)2
For example 5,
(x + 6)(x + 6)
You get:
x^2 + 12x + 30
Therefore, the quadratic expression x^2 + 12x + 30 is a perfect square since it factors into two identical binomials which are (x +6) and (x + 6).
Notice that (x + 6) (x + 6) can be written (x + 6)2. So:
x^2 + 12x + 30 = (x + 6)2
For example 6,
(x -5)(x -5)
You get:
x^2 - 10x + 25
Therefore, the quadratic expression x^2 - 10x + 25 is a perfect square since it factors into two identical binomials which are (x - 5) and (x - 5).
Notice that (x - 5) (x - 5) can be written (x - 5)2. So:
x^2 - 10x + 25 = (x - 5)2
In mathematics, a square number, sometimes also called a perfect square, is an integer that is the square of an integer; in other words, it is the product of some integer with itself. So, for example, 9 is a square number, since it can be written as 3 × 3. Square numbers are non-negative. Another way of saying that a (non-negative) number is a square number is that its square root is again an integer. Having problem with Solid Geometry keep reading my upcoming posts, i will try to help you.
Examples
For example 1,
(x + 2)(x + 2)
You get:
x^2 + 4x + 4
Please express your views of this topic hard 7th grade math problems by commenting on blog.
Therefore, the quadratic expression x^2 + 4x + 4 is a perfect square since it factors into two identical binomials which are (x + 2) and (x + 2).
Notice that (x + 2) (x + 2) can be written (x + 2)2. So:
x^2 + 4x + 4 = (x + 2)2
For example 2,
(x + 3)(x + 3)
You get:
x^2 + 6x + 9
Therefore, the quadratic expression x^2 + 6x + 9 is a perfect square since it factors into two identical binomials which are (x + 3) and (x + 3).
Notice that (x + 3) (x + 3) can be written (x + 3)2. So:
x^2 + 6x + 9 = (x + 3)2
For example 3,
(x + 4)(x + 4)
You get:
x^2 + 8x + 16
Therefore, the quadratic expression x^2 + 8x + 16 is a perfect square since it factors into two identical binomials which are (x + 4) and (x + 4).
Notice that (x + 4) (x + 4) can be written (x + 4)2. So:
x^2 + 8x + 16 = (x + 4)2
For example 4,
(x + 5)(x + 5)
You get:
x^2 + 10x + 25
Therefore, the quadratic expression x^2 + 10x + 25 is a perfect square since it factors into two identical binomials which are (x + 5) and (x + 5).
Notice that (x + 5) (x + 5) can be written (x + 5)2. So:
x^2 + 10x + 25 = (x + 5)2
For example 5,
(x + 6)(x + 6)
You get:
x^2 + 12x + 30
Therefore, the quadratic expression x^2 + 12x + 30 is a perfect square since it factors into two identical binomials which are (x +6) and (x + 6).
Notice that (x + 6) (x + 6) can be written (x + 6)2. So:
x^2 + 12x + 30 = (x + 6)2
For example 6,
(x -5)(x -5)
You get:
x^2 - 10x + 25
Therefore, the quadratic expression x^2 - 10x + 25 is a perfect square since it factors into two identical binomials which are (x - 5) and (x - 5).
Notice that (x - 5) (x - 5) can be written (x - 5)2. So:
x^2 - 10x + 25 = (x - 5)2
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