Hey there :)
( a + b )( a² - ab + b² )
Let us distribute ( a + b )
a ( a² ) + a ( - ab ) + a ( b² ) + b ( a² ) + b ( - ab ) + b ( b² )
a³ - a²b + ab² + a²b - ab² + b³
We can simplify further:
- a²b + a²b = 0
ab² - ab² = 0
a³ + b³
You can see in the picture I have attached that this is the
7th formula
In mathematics, a quotient (from Latin: quotiens "how many times", pronounced ˈkwoʊʃənt) is the result of division. For example, when dividing 6 by 3, the quotient is 2, while 6 is called the dividend, and 3 the divisor.
Hello, hope this makes some sense, the midpoint formula is what’s given in the picture and the rest is just substitution
If a triangle has side lengths 5, 5, and 8, then the triangle should be classified as isosceles.
This is because an isosceles triangle has two sides of the same length and one side of a different length. This isn’t an equilateral triangle (where all sides are of equal length) or a scalene triangle (where all sides are of different lengths).
Hope this helps!
The diagonals of a rhombus are perpendicular bisectors of each other, and are also angle bisectors. The 4 congruent right triangles the rhombus is cut into by the two diagonals are 30-60-90 degree triangles, the longer leg is √3/2 of the hypotenuse, √3/2 of 10=5√3. so the longer diagonal is twice of 5√3=10√3
