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

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

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