text: # SOLUTION: 1. How do I perform the indicated operation? 3 5 ___ - ___ 2b 3b^3 2. Subtraction: _____2x____ - ___7___ x^2-13x+42 x-6 3. Find LCD:
  
  Algebra ->  Algebra  -> Exponents -> SOLUTION: 1. How do I perform the indicated operation? 3 5 ___ - ___ 2b 3b^3 2. Subtraction: _____2x____ - ___7___ x^2-13x+42 x-6 3. Find LCD:      Log On
  
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   Algebra: Exponents and operations on exponents Solvers Lessons Answers archive Quiz In Depth
  
   Click here to see ALL problems on Exponents Question 86120This question is from textbook introductory algebra : 1. How do I perform the indicated operation? 3 5 ___ - ___ 2b 3b^3 2. Subtraction: _____2x____ - ___7___ x^2-13x+42 x-6 3. Find LCD: _____7_____, ___8___ a^2+2a-63 a+9 4. Perform the indicated operation. Simplify if possible. ___6a^2-8a-8___ / ___a-2___ 2a^2-9a-56 a-8 Thanks! This question is from textbook introductory algebra Answer by stanbon(57250)   (Show Source): You can put this solution on YOUR website!1. How do I perform the indicated operation? 3 5 ___ - ___ 2b 3b^3 --------- lcd = 6b^3 Rewrite each fraction with the lcd as its denominator: ---------- = 9b^2/lcd - 10/lcd ------------ Combine the numerators to get: = [9b^2-10]/6b^3 ======================= 2. Subtraction: _____2x____ - ___7___ x^2-13x+42 x-6 ---------- lcd = (x-6)(x-7) Rewrite: [2x/lcd] - [7(x-7)/lcd] --------- Combine: = [2x-7x+49]/lcd = [-5x+49]/[x^2-13x+42] ============= 3. Find LCD: _____7_____, ___8___ a^2+2a-63 a+9 --------------- Rewrite: 7/[(a+9)(a-7)], 8/(a+9) ------------ LCD = (a+9)(a-7) =================== 4. Perform the indicated operation. Simplify if possible. ___6a^2-8a-8___ / ___a-2___ 2a^2-9a-56 a-8 --------- Factor where you can to get: [2(a-2)(3a+2)/(a-8)(2a+7)] Cancel where you can to get: =[2(3a+2)/(2a+7)] =================== Cheers, Stan H.
explanation: The document contains multiple math questions and their corresponding answers. The questions are related to algebraic operations, such as performing indicated operations, finding the least common denominator (LCD), and simplifying expressions. Each question is followed by a detailed step-by-step solution.
distilabel_metadata.content: Evaluate the user given text extract and determine if it contains a math question and optionally and answer to this question.
  
  Output rules:
  
  1. Briefly describe the document and mention if it contains a question or a question and answer.
  2. Finalize the output with: Label: no-question,question,question-and-answer,multiple-question,multiple-question-and-answer
distilabel_metadata.role: system
distilabel_metadata.content: # SOLUTION: 1. How do I perform the indicated operation? 3 5 ___ - ___ 2b 3b^3 2. Subtraction: _____2x____ - ___7___ x^2-13x+42 x-6 3. Find LCD:
  
  Algebra ->  Algebra  -> Exponents -> SOLUTION: 1. How do I perform the indicated operation? 3 5 ___ - ___ 2b 3b^3 2. Subtraction: _____2x____ - ___7___ x^2-13x+42 x-6 3. Find LCD:      Log On
  
   Ad: Algebra Solved!™: algebra software solves algebra homework problems with step-by-step help! Ad: Algebrator™ solves your algebra problems and provides step-by-step explanations!
  
   Algebra: Exponents and operations on exponents Solvers Lessons Answers archive Quiz In Depth
  
   Click here to see ALL problems on Exponents Question 86120This question is from textbook introductory algebra : 1. How do I perform the indicated operation? 3 5 ___ - ___ 2b 3b^3 2. Subtraction: _____2x____ - ___7___ x^2-13x+42 x-6 3. Find LCD: _____7_____, ___8___ a^2+2a-63 a+9 4. Perform the indicated operation. Simplify if possible. ___6a^2-8a-8___ / ___a-2___ 2a^2-9a-56 a-8 Thanks! This question is from textbook introductory algebra Answer by stanbon(57250)   (Show Source): You can put this solution on YOUR website!1. How do I perform the indicated operation? 3 5 ___ - ___ 2b 3b^3 --------- lcd = 6b^3 Rewrite each fraction with the lcd as its denominator: ---------- = 9b^2/lcd - 10/lcd ------------ Combine the numerators to get: = [9b^2-10]/6b^3 ======================= 2. Subtraction: _____2x____ - ___7___ x^2-13x+42 x-6 ---------- lcd = (x-6)(x-7) Rewrite: [2x/lcd] - [7(x-7)/lcd] --------- Combine: = [2x-7x+49]/lcd = [-5x+49]/[x^2-13x+42] ============= 3. Find LCD: _____7_____, ___8___ a^2+2a-63 a+9 --------------- Rewrite: 7/[(a+9)(a-7)], 8/(a+9) ------------ LCD = (a+9)(a-7) =================== 4. Perform the indicated operation. Simplify if possible. ___6a^2-8a-8___ / ___a-2___ 2a^2-9a-56 a-8 --------- Factor where you can to get: [2(a-2)(3a+2)/(a-8)(2a+7)] Cancel where you can to get: =[2(3a+2)/(2a+7)] =================== Cheers, Stan H.
distilabel_metadata.role: user
distilabel_metadata.raw_output_q_a_detector_0: The document contains multiple math questions and their corresponding answers. The questions are related to algebraic operations, such as performing indicated operations, finding the least common denominator (LCD), and simplifying expressions. Each question is followed by a detailed step-by-step solution.
  
  Label: multiple-question-and-answer