1answer.
Ask question
Login Signup
Ask question
All categories
  • English
  • Mathematics
  • Social Studies
  • Business
  • History
  • Health
  • Geography
  • Biology
  • Physics
  • Chemistry
  • Computers and Technology
  • Arts
  • World Languages
  • Spanish
  • French
  • German
  • Advanced Placement (AP)
  • SAT
  • Medicine
  • Law
  • Engineering
neonofarm [45]
2 years ago
15

Can someone please help me factor this

Mathematics
1 answer:
Dmitry_Shevchenko [17]2 years ago
7 0

Answer:

\huge\boxed{\bf\:1}

Step-by-step explanation:

\frac{ x  ^ { 2  }  -4x+3  }{ x  ^ { 2  }  -7x+12  }   \times   \frac{ x  ^ { 2  }  +2x-24  }{ x  ^ { 2  }  +5x-6  }    ^ {   }

Take \frac{ x  ^ { 2  }  -4x+3  }{ x  ^ { 2  }  -7x+12  } & factorise it at first.

\frac{ x  ^ { 2  }  -4x+3  }{ x  ^ { 2  }  -7x+12  }   \\= \frac{\left(x-3\right)\left(x-1\right)}{\left(x-4\right)\left(x-3\right)}\\= \frac{x-1}{x-4}

Now factorise the next set : \frac{ x  ^ { 2  }  +2x-24  }{ x  ^ { 2  }  +5x-6  }    ^ {   }.

\frac{ x  ^ { 2  }  +2x-24  }{ x  ^ { 2  }  +5x-6  }    ^ {   }\\= \frac{\left(x-4\right)\left(x+6\right)}{\left(x-1\right)\left(x+6\right)}\\=  \frac{x-4}{x-1}

Now, multiply the two simplified results.

\frac{ x  ^ { 2  }  -4x+3  }{ x  ^ { 2  }  -7x+12  }   \times   \frac{ x  ^ { 2  }  +2x-24  }{ x  ^ { 2  }  +5x-6  }    ^ {   }\\= \frac{x-1}{x-4}\times \frac{x-4}{x-1} \\= \frac{\left(x-1\right)\left(x-4\right)}{\left(x-4\right)\left(x-1\right)} \\= \boxed{\bf\: 1}

\rule{150pt}{2pt}

You might be interested in
TWO MOVES TO FIT IN THE CLEAR SHAPE
Oksana_A [137]

Answer:

Answer:Move right twice

3 0
3 years ago
the original price of a DVD player was reduced by $45.50. the sale price was $165.90. Solve the following equation to solve the
professor190 [17]

Answer:

211.40

Step-by-step explanation:


7 0
3 years ago
The diagram shows an 8 foot ladder leaning against a wall
Solnce55 [7]
This question needs more information. So what if a diagram shows an 8 foot ladder leaning against a wall?
8 0
3 years ago
Read 2 more answers
Nate walked 72 city blocks in 48 minutes. At this rate, how many city blocks can he walk in 90 minutes?
stiv31 [10]

Answer:

135 city blocks is the correct answer

Step-by-step explanation:

7 0
3 years ago
Mrs. McCarthy bought 1.5 pounds of chicken from Smiths. She paid a total of $6.75 for the chicken. What was the price per pound?
REY [17]

$ 6.75/ 1.5 lbs

$4.50 per lb

4 0
3 years ago
Other questions:
  • 6 to the power of 4 times 6 to the power of 4 divided by 6 to the power of 5
    13·2 answers
  • The sum of 11 and k??
    12·1 answer
  • explain how the graph of y=-2sin(x)-1 differs from the parent function. Make sure to compare key points used for graphing
    11·1 answer
  • Find the derivative of the following functions:
    10·1 answer
  • What is the solution to this equation ?
    5·2 answers
  • (02.02 LC)<br> If f(x) = 6(x - 2), find f(5)
    8·2 answers
  • $12,000 at 2.2% for 5 years.<br> what’s the interest?
    15·1 answer
  • Find the sixth term of the geometric sequence 9, -27, 81,<br> a6
    7·1 answer
  • I need help explain pls
    12·2 answers
  • Please help me!!!!!!!!!!!
    8·1 answer
Add answer
Login
Not registered? Fast signup
Signup
Login Signup
Ask question!