OKPEDIA MATEMATICA EN

How to find the square of a binomial

The rule to solve the square of a binomial (A + B)2 is the following: the power of the binomial squared (resolution formulas)

The square of the binomial (A + B)2 is the sum of

  • the square of the first element A2
  • double the product of the two terms 2AB
  • the square of the second element B2

Examples

Example 1

$$ ( 4 + 2 )^2 $$

$$ ( 4^2 + 2 \cdot 4 \cdot 2 + 2^2 ) $$

$$ ( 16 + 16 + 4 ) = 36 $$

Example 2

$$ ( x - 3 )^2 $$

$$ ( x^2 - 2 \cdot 3x + 3^2 )$$

$$ ( x^2 - 6x + 9 )$$

Example 3

$$ ( 2x + 3y )^2 $$

$$ ( (2x)^2 + 2(2x \cdot 3y) + (3y)^2 ) $$

$$ ( 4x^2 + 12xy + 9y^2 ) $$

https://how.okpedia.org/en/mathematics/how-to-find-the-square-of-a-binomial


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