Subtract. Simplify by removing a factor of 1 when possible.

Question

(10bf)/(b^2-f^2)-(b-f)/b+f)

Thank you for your help

Answer 1

the actual subtraction part is easy: it's two factions being subtracted, which can only be done if they have the SAME denominator. So... the common denominator for the new fraction will be

(b^2 - f^2)(b + f)

the numerator is

(10bf)*(b + f) - (b - f)*(b^2 - f^2)

the new fraction is

(10bf)*(b + f) - (b - f)*(b^2 - f^2)
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(b^2 - f^2)(b + f)