MYTUTOR SUBJECT ANSWERS

149 views

Factorise fully 3*a^3*b +12*a^2*b^2 + 9*a^5*b^3

To factorise 3a3b + 12a2b2 + 9a5b3, we need to deal with like elements together.

Start with the integers. The highest common factor of 3, 12, and 9 is 3. Therefore we factor out the 3 and the expression becomes

3(a3b + 4a2b2 + 3a5b3)

Next, deal with the a values. The highest common factor of a3, a2 and a5 is a2. So, we factor out a2and the expression becomes

3a2(ab + 4b2 + 3a3b3)

Finally, we need to factorise the b values. The highest common factor of b, b2 and bis b. So we factor out b and the expression becomes.

3a2b(a + 4b + 3a3b2). 

Therefore, the complete factorisation of 3a3b + 12a2b2 + 9a5bis 3a2b(a + 4b + 3a3b2).

Melissa P. GCSE Maths tutor, 13 plus  Maths tutor, 11 Plus Maths tuto...

3 months ago

Answered by Melissa, a GCSE Maths tutor with MyTutor

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

326 SUBJECT SPECIALISTS

£18 /hr

Alex W.

Degree: Mathematics (Masters) - Warwick University

Subjects offered: Maths, Physics+ 1 more

Maths
Physics
Further Mathematics

“Hi i'm Alex. I am currently a first year Maths student at Warwick University, and can tutor you in Maths, Further Maths and Physics at both GCSE and A-Level. I have had plenty of teaching experience before so I can hopefully help you ...”

MyTutor guarantee

£18 /hr

Madeleine P.

Degree: Economics (Bachelors) - Durham University

Subjects offered: Maths, -Personal Statements-

Maths
-Personal Statements-

“About me I am reading Economics at Durham University. I have always had a passion and love for Mathematics and really enjoy now using it at degree level when tackling real world problems. I am very patient and freindly and have a desi...”

£18 /hr

Quentin D.

Degree: mathematics (Bachelors) - Durham University

Subjects offered: Maths, French+ 1 more

Maths
French
Biology

“About me: I am a French native speaker. During my childhood I have travelled quite a lot meaning that I am perfectly bilingual in French and English. Because I have travelled a lot, Maths has always been the "language" I recognized t...”

About the author

£18 /hr

Melissa P.

Degree: Mathematics (Bachelors) - Birmingham University

Subjects offered: Maths, Spanish

Maths
Spanish

“About me:  I am currently studying for a Maths degree at the University of Birmingham. I have enjoyed Maths since I was very young and hope I can pass some of this on to you!  I am very friendly. I have been coaching gymnastics since...”

You may also like...

Posts by Melissa

Factorise fully 3*a^3*b +12*a^2*b^2 + 9*a^5*b^3

Find the 100th term in the sequence 3, 7, 11, 15...

Find the highest common factor of 432 and 522

Find the next three terms of the sequence 17, 14.5, 12, 9.5

Other GCSE Maths questions

Solve these simultaneous equations, (1) [5a - 3b = 16], (2) [2b - 3a = -9] ?

How do I expand brackets by multiplication?

Can you explain the formula method for solving quadratic equations?

A cylindrical beaker has a height of 16 cm and a diameter at its bottom of 10 cm. What is its volume? Give your answer to 2 decimal places.

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