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Chapter 8: Q 230 (page 954)

Simplify2bb-5+32b-2b-152b2-10b.

Short Answer

Expert verified

The result is4b+12(b-5).

Step by step solution

01

Given Information   

The Given expression is2bb-5+32b-2b-152b2-10b.

02

Find the LCD of denominators.    

Factor the denominators.

2b2-10b=2b(b-5)

LCD=2b(b-5)

Rewrite the expression in factored form.

2bb-5+32b-2b-152b(b-5)

03

Rewrite each fraction as an equivalent fraction with the LCD.   

=2b(2b)2b(b-5)+3(b-5)2b(b-5)-2b-152b(b-5)=4b22b(b-5)+3b-152b(b-5)-2b-152b(b-5)

04

Simplify.  

Take common denominator.

=4b2+3b-15-(2b-15)2b(b-5)=4b2+3b-15-2b+152b(b-5)

Cancel common factors.

=4b2+b2b(b-5)=b(4b+1)2b(b-5)=4b+12(b-5)

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Most popular questions from this chapter

Ironing Lenore can do the ironing for her family鈥檚 business in h hours. Her daughter would take h + 2 hours to get the ironing done. If Lenore and her daughter work together, using 2 irons, the number of hours it would take them to do all the ironing is 11h+1h+2.

  1. Simplify the complex fraction 11h+1h+2.
  2. Find the number of hours it would take Lenore and her daughter, working together, to get the ironing done ifh=4.

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