What is expand (x-6/5 ln(6))(x-6/5 ln(6)) ?

The solution to expand (x-6/5 ln(6))(x-6/5 ln(6)) is x^2-(12ln(6)x)/5+36/25 ln^2(6)

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expand (x-6/5 ln(6))(x-6/5 ln(6))

expand

(x - \frac{6}{5} ln (6)) (x - \frac{6}{5} ln (6))

x^{2} - \frac{12 ln ( 6 ) x}{5} + \frac{36}{25} ln^{2} (6)

Solution steps

(x - \frac{6}{5} ln (6)) (x - \frac{6}{5} ln (6))

Apply FOIL method:

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

a = x, b = - \frac{6}{5} ln (6), c = x, d = - \frac{6}{5} ln (6)

= xx + x (- \frac{6}{5} ln (6)) + (- \frac{6}{5} ln (6)) x + (- \frac{6}{5} ln (6)) (- \frac{6}{5} ln (6))

Apply minus-plus rules

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

= xx - \frac{6}{5} ln (6) x - \frac{6}{5} ln (6) x + \frac{6}{5} \cdot \frac{6}{5} ln (6) ln (6)

Simplify

xx - \frac{6}{5} ln (6) x - \frac{6}{5} ln (6) x + \frac{6}{5} \cdot \frac{6}{5} ln (6) ln (6) : x^{2} - \frac{12 ln ( 6 ) x}{5} + \frac{36}{25} ln^{2} (6)

= x^{2} - \frac{12 ln ( 6 ) x}{5} + \frac{36}{25} ln^{2} (6)

(6 + 5) (6 + 1) (6 - 5) (6 - 1)

lo g_{3} (y^{2} - 1)

2 (\frac{512 π}{3} - \frac{2048}{9})

(5 x - x^{2}) + (2 x - 3) d x

(x + 1) \circ (y - 1)

What is expand (x-6/5 ln(6))(x-6/5 ln(6)) ?
The solution to expand (x-6/5 ln(6))(x-6/5 ln(6)) is x^2-(12ln(6)x)/5+36/25 ln^2(6)