simplify (x-3/2)^2

Solution

simplify

(x - \frac{3}{2})^{2}

\frac{( 2 x - 3 ) ^{2}}{4}

Solution steps

(x - \frac{3}{2})^{2}

Simplify

x - \frac{3}{2} : \frac{2 x - 3}{2}

= (\frac{2 x - 3}{2})^{2}

Apply exponent rule:

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

= \frac{( 2 x - 3 ) ^{2}}{2 ^{2}}

2^{2} = 4

= \frac{( 2 x - 3 ) ^{2}}{4}

(9 x^{2} - 8) - (- 4 x^{2} - 5 x)

\frac{2}{3} \div \frac{1}{2}

lo g_{3} (30)

(- 1 + i 3)^{- 2}

\frac{f}{f - g} - \frac{g}{g - f}