## MYTUTOR SUBJECT ANSWERS

672 views

### Simplify (3x^2 - 15x)/(3x^2 - 13x -10)

Begin by considering the numerator and denominator separately, simplify both:

1) 3x^2 - 15x

Here, a common factor of 3x can be removed to give 3x(x^2 -5).

2) 3x^2 - 13x -10

This involves using two brackets each arranged as (ax+b)(cx+d). Unlike in 1), 3x cannot be removed as a common factor, but 3x must exist in order for 3x^2 to be present, therefore you get (3x+b)(x+d). The next thing to consider is how to multiply b and d to obtain 10, the factors of 10 are 1, 10, 2 and 5. As "-10" is in the expression to be simplified, one of the signs must be a minus. So considering 2 and 5, there are two possible answers: (3x - 2)(x+5) or (3x+2)(x-5), multiplying these out you find that the latter is the only possible solution.

Finally, putting the new simplified fraction together you get: (3x(x-5))/((3x+2)(x-5), (x-5) cancel on the numerator and denominator giving you a final, simplified, fraction of 3x/(3x+2).

1 year ago

Answered by Gabriella, a GCSE Maths tutor with MyTutor

## Still stuck? Get one-to-one help from a personally interviewed subject specialist

#### 525 SUBJECT SPECIALISTS

£20 /hr

Xanthe W.

Degree: Biological Sciences with a Year in Industry/Research (Bachelors) - Imperial College London University

Subjects offered:Maths, Chemistry+ 1 more

Maths
Chemistry
Biology

“Top tutor from the renowned Russell university group, ready to help you improve your grades.”

£18 /hr

Vlad B.

Degree: Mathematics (Masters) - Bath University

Subjects offered:Maths, Further Mathematics

Maths
Further Mathematics

“Hi! I am studying Mathematics at Bath University and I am passionate about teaching, and learning mathematics.”

MyTutor guarantee

£18 /hr

Gabrielle F.

Degree: Philosophy, Politics and Economic (Bachelors) - Kings, London University

Subjects offered:Maths, English+ 2 more

Maths
English
Economics
.TSA. Oxford.

“Hi, I'm an enthusiastic tutor with experience in multiple subjects. I am currently studying a BSc in Philosophy, Politics and Economics at Kings College ”

#### About the author

Gabriella O.

Currently unavailable: for regular students

Degree: Law (Bachelors) - Durham University

Subjects offered:Maths, Chemistry+ 3 more

Maths
Chemistry
Biology
.LNAT.
-Personal Statements-

“I am Gabriella and I am a 3rd year law student at Durham University. I love learning and would like to share this passion with you. I believe it important for everyone to achieve their best. Although I am studying law I took maths and ...”

### You may also like...

#### Other GCSE Maths questions

How do I remember the area of a circle if it's not in the formula book?

Solve the equations giving your answer in 2d.p (5 Marks).: x^2 + y^2 = 36 , x = 2y + 6

Calculate the value of 2^(–3) as a fraction in its simplest form.

What are the values of x and y?

We use cookies to improve your site experience. By continuing to use this website, we'll assume that you're OK with this.