What is expand (x-1/4)(x-(-) 2/3) ?

The solution to expand (x-1/4)(x-(-) 2/3) is x^2+(5x)/(12)-1/6

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expand (x-1/4)(x-(-) 2/3)

expand

(x - \frac{1}{4}) (x - (-) \frac{2}{3})

x^{2} + \frac{5 x}{12} - \frac{1}{6}

Solution steps

(x - \frac{1}{4}) (x - (-) \frac{2}{3})

= (x - \frac{1}{4}) (x - \frac{2}{3} (-))

Apply FOIL method:

(a + b) (c + d) = a c + a d + b c + b d

a = x, b = - \frac{1}{4}, c = x, d = - (-) \frac{2}{3}

= xx + x (- (-) \frac{2}{3}) + (- \frac{1}{4}) x + (- \frac{1}{4}) (- (-) \frac{2}{3})

Apply minus-plus rules

+ (- a) = - a, (- a) (- b) = ab

= xx - \frac{2}{3} (-) x - \frac{1}{4} x + \frac{1}{4} \cdot \frac{2}{3} (-)

Simplify

xx - \frac{2}{3} (-) x - \frac{1}{4} x + \frac{1}{4} \cdot \frac{2}{3} (-) : x^{2} + \frac{5 x}{12} - \frac{1}{6}

= x^{2} + \frac{5 x}{12} - \frac{1}{6}

x + 3 2^{2}

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

2 (x - 3 y)

(csc (x) - cot (x)) (1 - cos (x))

\frac{( - 12 x ^{4} + 6 x ^{3} - 18 x ^{2} )}{6 x}

What is expand (x-1/4)(x-(-) 2/3) ?
The solution to expand (x-1/4)(x-(-) 2/3) is x^2+(5x)/(12)-1/6