simplify (x+1/4)^2

Solution

simplify

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

\frac{( 4 x + 1 ) ^{2}}{16}

Solution steps

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

Simplify

x + \frac{1}{4} : \frac{4 x + 1}{4}

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

Apply exponent rule:

(\frac{a}{b})^{c} = \frac{a ^{c}}{b ^{c}}

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

4^{2} = 16

= \frac{( 4 x + 1 ) ^{2}}{16}

\frac{1}{x ^{2} - 14 x + 49} - \frac{2 x}{x - 7}

\frac{6}{60}

(x - y)^{2}

(h^{2} + 1 + 1) (h^{2} + 1 - 1)

\frac{2}{3} \times 6