what is a^2-b^2 prove this using formulas
Answers
a²-b² = (a+b)(a-b)!!!
The practical meaning of the formula goes like this,
Let us consider two squares;
The square - 1 is larger square of side ‘a’ which means the area of the square is ‘a^2’
The square - 2 is a smaller square of side ‘b’ which is inherited into the previous square; so the area of this square will be ‘b^2’
The area of the of the rest of the square after the smaller square (the shaded area) is given by a^2-b^2.
The length of the green line in base of the square is given by (a-b). This forms the breadth of the rectangle to be formed.When the smaller square is moved to the upper portion to form a rectangle, the length will be (a+b).
Area or rectangle = l x b
( a + b ) x ( a - b )
Completing the equation we get,
a^2-b^2.
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