152k views
7 votes
Can someone please help me factor this

Can someone please help me factor this-example-1
User Yoana
by
8.4k points

1 Answer

12 votes

Answer:


\huge\boxed{\bf\:1}

Explanation:


\frac{ x ^ { 2 } -4x+3 }{ x ^ { 2 } -7x+12 } * \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 } \\= (\left(x-3\right)\left(x-1\right))/(\left(x-4\right)\left(x-3\right))\\= (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 } ^ { }\\= (\left(x-4\right)\left(x+6\right))/(\left(x-1\right)\left(x+6\right))\\= (x-4)/(x-1)

Now, multiply the two simplified results.


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


\rule{150pt}{2pt}

User Dcompoze
by
8.7k points

No related questions found

Welcome to QAmmunity.org, where you can ask questions and receive answers from other members of our community.

9.4m questions

12.2m answers

Categories