Some special cases that are relevant in practice are: (a + b)2 = a2 + 2ab + b2 (a - b)2 = a2 - 2ab + b2 (x + a)(x + b) = x2 + (a+b)x + ab
This can't be explained in a few words. Basically you check the different special cases, mentioned in a school algebra course: whether there is a common factor, whether a binomial is a difference of squares, etc. Check a high school algebra book for more details.
Parallelograms (and their special cases), isosceles trapezium.
Not if the rational number is zero. In all other cases, the product is irrational.
A hexahedron. In special cases it would be a cuboid and, in even more specific cases, a cube.
I will assume you mean 7x + 5. In general, a binomial (two terms) can ONLY be factored if both terms have a common factor, OR you have a difference of squares. No other cases are possible, since the product of two binomials is, in general, a trinomial (three terms). Since none of these special cases apply, the expression can't be factored.
Some special cases that are relevant in practice are: (a + b)2 = a2 + 2ab + b2 (a - b)2 = a2 - 2ab + b2 (x + a)(x + b) = x2 + (a+b)x + ab
You could start with multiplying two different binomials ("FOIL" and such), then squaring a binomial is just a special case. In both cases, you could give a geometric illustration (a square with sides a+b and c+d, and the product represented by area)
Special Cases was created on 2003-02-24.
This can't be explained in a few words. Basically you check the different special cases, mentioned in a school algebra course: whether there is a common factor, whether a binomial is a difference of squares, etc. Check a high school algebra book for more details.
There are two special cases that start trial in the United States Supreme Court. Cases involving foreign officials and cases in which a state is a party originate in the Supreme Court.
In general, no. But in special cases it can be.
The cases were originally loaded with higher pressure, higher velocity loads for the 38 Special revolvers. Not to be used in older revolvers chambered for the .38 Special cartridge.
As an example, the product of (a + b) (a - b) is equal to a squared - b squared."Special product" simply means that there are special cases, when multiplying polynomials, that are worth memorizing. For example, if you know the above, then you can easily start factoring any expression that contains the difference of two perfect squares - for example, x squared minus 1, a to the power 6 minus b to the power 4, or even - if you start using complex numbers - a squared + b squared = a squared - (-1) b squared.
yes
The ones that do.
Hardigg cases are fairly special because of its durability and strength. Its capability to endure specific environments makes it remarkable and nearly indestructible. Hardigg cases also are involved in military matters by creating cases that protect a missions critical supplies.