What is expand (x-ln(5))(x-ln(2)) ?

The solution to expand (x-ln(5))(x-ln(2)) is x^2-ln(2)x-ln(5)x+ln(5)ln(2)

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expand (x-ln(5))(x-ln(2))

expand

(x - ln (5)) (x - ln (2))

x^{2} - ln (2) x - ln (5) x + ln (5) ln (2)

Solution steps

(x - ln (5)) (x - ln (2))

Apply FOIL method:

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

a = x, b = - ln (5), c = x, d = - ln (2)

= xx + x (- ln (2)) + (- ln (5)) x + (- ln (5)) (- ln (2))

Apply minus-plus rules

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

= xx - ln (2) x - ln (5) x + ln (5) ln (2)

xx = x^{2}

= x^{2} - ln (2) x - ln (5) x + ln (5) ln (2)

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What is expand (x-ln(5))(x-ln(2)) ?
The solution to expand (x-ln(5))(x-ln(2)) is x^2-ln(2)x-ln(5)x+ln(5)ln(2)