Question

विस्तार करा- $\bigg \lgroup x + \frac{1}{2}\bigg \rgroup ^{2}$

Answer 1

$(x + \frac{1}{2} ) {}^{2} \\ {x}^{2} + ( \frac{1}{2} ) {}^{2} + 2 \times x \times \frac{1}{2} \\ {x}^{2} + \frac{1}{4} + x$

Answer 2

Identity to be used :

(a+b)² = a²+b²+2ab

Given statement :

$(x + \frac{1}{x} ) ^{2}$

=

${x}^{2} + ( \frac{1}{x} ) ^{2} + 2 \times x \times \frac{1}{x} \\ \\ = {x}^{2} + \frac{1}{ {x}^{2} } + x \\ \\ = \frac{ {x}^{4} + 1 + {x}^{3} }{ {x}^{2} }$

What is an algebraic expression?

=> The mathematical expressions which contain both the constant and variables in them are known as algebraic expressions.