SHORT REVISION ON ALGEBRAIC IDENTITIES.

As you probably know “An Algebraic identity is an algebraic equation that is true for all values of the variables occurring in it.” These Identities play a vital role in any algebraic or mathematical calculation.

So, this post is made for the short revision of the Algebraic Identities. Some of these are :

· (x + y)² = x² + 2xy + y²

·        (x - y)² = x² - 2xy + y²·        x² – y² = (x + y) (x – y)
·        (x + a) (x + b) = x² + (a + b)x + ab
·        (x + y + z)² = x²+ y²+ z² + 2(xy + yz + zx)
·        (x + y)³ = x³ + y³ + 3xy (x + y)
·        (x – y)³ = x³ – y³ – 3xy(x – y)
·        x³ + y³ + z³ – 3xyz = (x + y + z)(x² + y² + z² – xy – yz – zx)
· x³ + y³ = (x + y)(x² – xy + y²)
· x³ - y³ = (x - y)(x² + xy + y²)

Some advanced Algebraic Identities :

·        x² + y² = (x - y)² + 2xy
·        (x + y)² = (x - y)² + 4xy
·        (x - y)² = (x + y)² - 4xy
· x⁴ – y⁴ = (x² + y²)(x + y)(x - y)
· x⁸ – y⁸ = (x⁴ + y⁴)(x² + y²)(x + y)(x - y)
·        (x + y + z)³ = x³ + y³ + z³ + 3(x + y)(y + z)( z + x)

These are the algebraic identities that are used mostly in the calculation.

Short trick to multiply any two digits Number by 11.

Short trick to multiply any two digits Numbers.

Comments

5 BEST REAL LIFE APPLICATIONS OF ANGLES.

As you probably know that the Angle is the measure of rotations taken by a ray around its initial point. But, have you ever thought what could be the practical applications of Angles in real life ? Position, direction, precision, and optimization are some reasons why people use angles in their daily life. In this post you are going to learn about the 5 best practical real life applications of Angles. So let’s dig in. 1.) At Street Intersections – Street intersections are made at angles as close as possible to 90°, if not greater, so that visibility is easier when turning. It is beneficial for city planners to create additional turns so that there are larger turning angles for safer traffic. For example, if a car has to make a sharp 60° turn onto traffic, it would probably be more likely to get into an accident because the turn is difficult. If you find a non-perpendicular four-way intersection with a stoplight, it is likely to have a “No Turn on Red” sign for those drivers who w...

REAL LIFE APPLICATIONS OF TRIGONOMETRY | REAL LIFE MATH.

Triangle trigonometry has many applications that help find unknown lengths or angle measurements. For instance, paintings, motion pictures, and televisions have ideal viewing distances in order to create the greatest possible image from the eye. The triangle is formed between the view and the top and bot- tom (or the sides) of the viewing object. Here are the 5 best Real Life Applications of Trigonometry. 1.) In Astronomy Astronomers use triangle trigonometry to determine distances and sizes of objects. For example, the distance from the earth to the moon, and earth to the sun, can be found by identifying their angles from the horizon during an eclipse. The height of a solar flare can also be determined by measuring the angle from the sun to the tip of the flare, and using distance information about the earth and sun. 2.) In Engineering Work Trigonometry can be used to find unknown lengths or angle measurements. In a situation involving right triangles, only a side le...

THALES OF MILETUS

Mathematics as we know it today, with theorems and proofs, began with the great Greek mathematician Thales of Miletus (ca. 624–548 BCE). Miletus was among the first free city-states within the larger Greek empire, which spanned much of the eastern Mediterranean from Anatolia to the south of Italy and Egypt, including the islands in between. Lying on the coast of Anatolia, Miletus was one of the oldest and most prosperous Greek settlements of the time. Thales is often called the first philosopher. He is also known for his famous saying “Know thyself,” which was even engraved on the stone entrance to the cave of the Oracle of Delphi, a sacred site where the Greeks sought counsel from their gods. Additionally, Thales was one of the Seven Sages of Greece, though according to the historian Plutarch, he surpassed the others. In his book on Solon, another of the Seven Sages, Plutarch says this about Thales: “He was apparently the only one of these whose wisdom stepped, in speculation, beyo...

MAXZONE ACADEMY

Search This Blog