Examples of the formula (a-b)²
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Examples of the formula (a-b)³
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Answers
Answer:
1) a² – b² = (a-b)(a+b)
(a+b)² = a² + 2ab + b²
(a-b)² = a² – 2ab + b²
a² + b² = (a-b)² +2ab.
This is just of first one.. As, I knew this only
here is the explanation that how to do it.
Step-by-step explanation:
Introduction
Let the literals a and b represent two terms in algebraic form. The subtraction of from is written as a - b . It is basically an algebraic expression and also a binomial.
The square of this expression is written as (a - b)² in mathematical form and it is expanded as a² - 2ab + b² mathematically.
In mathematics, this algebraic identity is used as a formula and it is called in the following three ways.
1: The square of difference of the terms formula.
2: The square of a binomial identity.
3: The special binomial product rule.
Usage
The square of difference of terms is used as a formula in mathematics in two cases.
1) Expansion
The square of difference of the terms is expanded as the subtraction of two times product of two terms from the sum of the squares of the terms.
(a - b²) = a² + b² - 2ab
2) Simplification
The subtraction of two times product of two terms from the sum of the squares of the terms is simplified as the square of difference of the terms.
a² + b² - 2ab = (a - b)²