A binomial can be multiplied to itself once and the special product of two same binomials is expressed in square form according to exponentiation. The square of a binomial can also be expanded in terms of its two unlike terms.

The expansion of product of two same binomials plays vital role in mathematics and also especially used as formulas in solving the problems.

The binomials possibly formed two types of identities in square form by the product and remember these two algebraic identities to use them in various branches of the mathematics.

$(a+b)^{\displaystyle 2} = a^{\displaystyle 2} + b^{\displaystyle 2} + 2ab$

$(a-b)^{\displaystyle 2} = a^{\displaystyle 2} + b^{\displaystyle 2} \,- 2ab$

List of most recently solved mathematics problems.

Jul 04, 2018

Limit (Calculus)

Evaluate $\displaystyle \large \lim_{x \,\to\, \tan^{-1}{3}} \normalsize {\dfrac{\tan^2{x}-2\tan{x}-3}{\tan^2{x}-4\tan{x}+3}}$

Jun 23, 2018

Limit (Calculus)

Evaluate $\displaystyle \large \lim_{x \to 0} \normalsize \dfrac{e^{x^2}-\cos{x}}{x^2}$

Jun 22, 2018

Integral Calculus

Evaluate $\displaystyle \int \dfrac{1+\cos{4x}}{\cot{x}-\tan{x}} dx$

Jun 21, 2018

Limit

Evaluate $\displaystyle \large \lim_{x \to \infty} \normalsize {\sqrt{x^2+x+1}-\sqrt{x^2+1}}$

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