Expand left(frac{x}{2}-frac{2}{5}right)^{2}. | vedclass

Name: Exam Paper Generator | JEE NEET Paper Generator | Vedclass
Brand: Vedclass
Rating: 5 (35 reviews)

Question

(A) To expand the expression $\left(\frac{x}{2}-\frac{2}{5}\right)^{2}$,we use the algebraic identity $(a-b)^{2} = a^{2} - 2ab + b^{2}$.Here,$a = \fra

Vedclass · Accepted Answer

$\frac{x^2}{4} - \frac{2x}{5} + \frac{4}{25}$

Vedclass · Answer

(A) To expand the expression $\left(\frac{x}{2}-\frac{2}{5}\right)^{2}$,we use the algebraic identity $(a-b)^{2} = a^{2} - 2ab + b^{2}$.Here,$a = \frac{x}{2}$ and $b = \frac{2}{5}$.Substituting these values into the identity:$\left(\frac{x}{2}-\frac{2}{5}\right)^{2} = \left(\frac{x}{2}\right)^{2} - 2\left(\frac{x}{2}\right)\left(\frac{2}{5}\right) + \left(\frac{2}{5}\right)^{2}$$= \frac{x^{2}}{4} - \frac{4x}{10} + \frac{4}{25}$$= \frac{x^{2}}{4} - \frac{2x}{5} + \frac{4}{25}$.

Expand $\left(\frac{x}{2}-\frac{2}{5}\right)^{2}$.

Similar Questions

Which of the following expressions is a polynomial? State the reason. If an expression is a polynomial,state whether it is a polynomial in one variable or not: $3x^2 + 5x - 7 + \frac{8}{x}$

Expand $(x+4)(x+9)$.

Factorise $16 x^{2}-16 x-21$.

Are the following expressions polynomials? Justify your answer:
$\frac{1}{x+1}$

Find the zero of the polynomial $p(x)=5 x-8$.

Vedclass Test Series

Exam Paper Generator

Online Exam Module