# SOLUTION: Could someone please show me how to multiply and simplify this equation. {{{36b/(3b^2-24b+48)}}}*{{{(3b-12)/6b}}}

Algebra ->  Algebra  -> Polynomials-and-rational-expressions -> SOLUTION: Could someone please show me how to multiply and simplify this equation. {{{36b/(3b^2-24b+48)}}}*{{{(3b-12)/6b}}}      Log On

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 Click here to see ALL problems on Polynomials-and-rational-expressions Question 160398: Could someone please show me how to multiply and simplify this equation. *Answer by KnightOwlTutor(293)   (Show Source): You can put this solution on YOUR website!factor out 3 from 3b^2-24b+48 to get 3(b^2-8b+16) (b^2-8b+16)can be factored by finding 2 numbers multiplied together gives a product of 16 but when added together gives you -8 It is obvious that the numbers must be both negative (-)(-)=(+) A likely choice is -4 (-4)(-4)=16 and (-4)+(-4)=-8 Therefore (b^2-8b+16)=(b-4)(b-4) [36b/3(b-4)(b-4)][3(b-4)/6b] you divided 36b by 6b and get 6(3(b-4)/3(b-4)(b-4) simplify by canceling out the 3(b-4) terms in the numerator and denominator and you are left with 6/b-4