write showing all working the following algebraic expression as a single fraction in its simplest form: 4-[(x+3)/ ((x^2 +5x +6)/(x-2))]
4-[(x+3)*((x-2)/(x^2 +5x +6))]
4-[(x+3)(x-2)/(x^2 +5x +6))]
factorise denominator
4-[(x+3)(x-2)/(x+3)(x+2)]
cancel down (x+3)
4-[(x-2)/(x+2)]
expand
4(x+2)/(x+2) - (x-2)/(x+2)
now share a denominator so make one fraction
(4x+8-x+2)/(x+2)
simplify
(3x+10)/(x+2)
ST
Answered by Sarah T. • Further Mathematics tutor
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