This is one of the shortened multiplication formulas and it describes the square difference of two numbers.
That is, when we encounter two numbers with a minus sign between them, that is, the difference and they will be in parentheses and raised as a squared expression, we can use this formula.
\( (4b-3)(4b-3) \)
Write the above as a power expression and as a summation expression.
Pay attention - The formula also works in non-algebraic expressions or combinations with numbers and unknowns.
Here we identify two elements between which there is a minus sign and they are enclosed in parentheses and raised to the square as a single expression.
Therefore, we can use the formula for the difference of squares.
We will work according to the formula and pay attention to the minus and plus signs.
We will obtain:
Indeed, we pronounce the same expression differently using the formula.
If you are interested in this article, you might also be interested in the following articles:
Square
The area of a square
Multiplication of the sum of two elements by the difference between them
The formula for the sum of squares
The formulas that refer to two expressions to the power of 3
In the blog of Tutorela you will find a variety of articles about mathematics.
Given the square:
Express the area of the square
Remember that the area of the square is equal to the side of the square raised to the 2nd power.
The formula for the area of the square is
We place the data in the formula:
Rewrite the following expression as an addition and as a multiplication:
\( (3x-y)^2 \)
\( (a-4)(a-4)=\text{?} \)
Declares the given expression as a sum
\( (7b-3x)^2 \)
