Simplify 6- x+5/(7x-5)(x+4)

Simplify the expression
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1 Answer

(1) 6-(x+5)/[(7x-5)(x+4)]=[6(7x-5)(x+4)-(x+5)]/[(7x-5)(x+4)]=

[6(7x2+23x-20)-x-5]/[(7x-5)(x+4)]=

(42x2+138x-120-x-5)/[(7x-5)(x+4)]=

(42x2+137x-125)/[(7x-5)(x+4)];

or

(2) (6-x)+5/[(7x-5)(x+4)]=

(6-x)(7x-5)(x+4)+5/[(7x-5)(x+4)]=

[(6-x)(7x2+23x-20)+5]/[(7x-5)(x+4)]=

(42x2+138x-120-7x3-23x2+20x+5)/[(7x-5)(x+4)]=

(-7x3+19x2+158x-115)/[(7x-5)(x+4)].

by Top Rated User (1.1m points)

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