answersLogoWhite

0


Best Answer

Given the graphic capability of this site, you are going to have to use some imagination!

<---------a--------->

<---a-b---><--b-->

+-----------+-------+

|...............|..........|

|.......P......|....Q...|

|...............|..........|

+-----------+-------+

|.......R......|....S....|

|...............|..........|

+-----------+-------+

In the above graphic, P, S and the whole figure are meant to be squares.

The total area is P+Q+R+S = a2

P = (a-b)2

Q = b*(a-b) = (a-b)*b = a*b - b2

R = (a-b)*b = a*b = a*b - b2

and

S = b2

Now, P = {P+Q+R+S} - Q - R - S

= a2 - ab + b2 - ab + b2 - b2

= a2 - 2ab + b2

User Avatar

Wiki User

12y ago
This answer is:
User Avatar

Add your answer:

Earn +20 pts
Q: What is the geometrical proof of a-b whole square?
Write your answer...
Submit
Still have questions?
magnify glass
imp
Related questions

What is the geometrical proof of a plus b whole square?

In view of the graphic capabilities of this site, you will need to use a fair amount of imagination! Here goes: &lt;------a+b------&gt; &lt;----a----&gt;&lt;-b-&gt; +-----------+-----+ |. . . . . . . .|. . . .| |. . . P. . . .|. .Q. | |. . . . . . . .|. . . .| +-----------+-----+ |. . . R. . . .|. .S. | |. . . . . . . .|. . . .| +----------+-----+ Where P = a*a = a2 Q = a*b R = b*a = a*b S = b*b = b2 (a + b)2 = P + Q + R + S = a2 + ab + ab + b2 = a2 + 2ab + b2


What is formula for a plus b whole square?

(A+B)2 = (A+B).(A+B) =A2+AB+BA+B2 =A2+2AB+ B2 So the Answer is A + B the whole square is equal to A square plus 2AB plus B square. Avinash.


The coordinates of a and b are square root of 27 and square root of 15 reapectively find ab?

Find ab


What is the square root of ab?

(ab) raised to 1/2 power


What is a type of equation with a variable in the radicand?

a square is ab square


If A(-2-4) and B(-8-4) what is the length of AB?

AB can be found by using the distance formula, which is the square root of (x2-x1)^2 + (y2-y1)^2. In this case, AB= the square root of (-2-(-8))^2 + (-4-(-4))^2 which AB= the square root of 64 + 0 which AB=8.


A minus b plus c whole square?

If you mean (a-b+c)^2, then... a^2 - ab + ac - ab + b^2 - bc + ac - bc + c^2 = a^2 + b^2 + c^2 - 2ab + 2ac - 2bc.


What is the arrangement of whole half steps for a natural minor scale?

Take C minor as an example: Whole - C to D Half - D to Eb Whole - Eb to F Whole - F to G Half - G to Ab Whole - Ab to Bb Whole - Bb to C


What is the area of square AB?

The length of its side squared.


What is the square root of Ab2?

The square root of Ab^2 is |b|√A, where A is a positive real number and b is any real number. The absolute value of b is taken to ensure the result is always positive or zero. If b is negative, the result will be |b| times the square root of A.


If a (0 0) and b (8 2) what is the length of ab?

The length of ab can be found by using the Pythagorean theorem. The length of ab is equal to the square root of (0-8)^2 + (0-2)^2 which is equal to the square root of 68. Therefore, the length of ab is equal to 8.24.


If parallelogram ABCD is a square then AB will equal AC?

never