MYTUTOR SUBJECT ANSWERS

313 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).

Gabriella O. 11 Plus Maths tutor, GCSE Maths tutor, GCSE Biology tuto...

7 months ago

Answered by Gabriella, a GCSE Maths tutor with MyTutor


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

334 SUBJECT SPECIALISTS

£18 /hr

Molly B.

Degree: Biology (Bachelors) - Bristol University

Subjects offered: Maths, Science+ 4 more

Maths
Science
Psychology
Human Biology
-Personal Statements-

“Who am I? I am a Biology student at the University of Bristol. I am a positive and friendly person and have always been enthusiastic to learn new things. I hope to pass this on to my students and that I will make learning fun by using...”

MyTutor guarantee

£18 /hr

Abigail G.

Degree: Zoology (Bachelors) - Exeter University

Subjects offered: Maths, Geography+ 3 more

Maths
Geography
Chemistry
Biology
-Personal Statements-

“Hi I'm Abi, a 1st year MSci Zoology student at the University of Exeter, Penryn Campus. I am absolutely loving my degree and am learning new and exiting things every second! I thoroughly enjoy anything biological related and am able t...”

£18 /hr

Georgia C.

Degree: English (Bachelors) - St. Andrews Unversity University

Subjects offered: Maths, Science+ 5 more

Maths
Science
Geography
English Literature
Chemistry
Biology

“I am currently studying English at St Andrews, and have always enjoyed and been passionate about reading. I have experience in tutoring in several different areas over a wide range of ages. Within the sessions, I think it is important ...”

About the author

£18 /hr

Gabriella O.

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

Solve the simultaneous equation: 2x + 3y = 6, 3x + 2y = 5.

How do you find the equation of a straight line on a graph?

Ali has £4. Ben has twice as much as Ali. Ben has two-thirds of the amount Cara has. The amount Cara has is four-fifths of her age in years. How old is Cara?

Solve the simultaneous equation: 3x+y=-2, -7x+5y=34.

View GCSE Maths tutors

Cookies:

We use cookies to improve our service. By continuing to use this website, we'll assume that you're OK with this. Dismiss

mtw:mercury1:status:ok