MYTUTOR SUBJECT ANSWERS

172 views

Expand and Simplify 3x(8y-2) - 4y(6x -3) + 2x = 0

1) We will expand the function by multiplying each bracket by its coefficients. Lets divide the equation in two parts to make it a bit simpler: 

          3x(8y-2) = 3x*8y + 3x*(-2)  = 24xy - 6x                                       

          -4y(6x - 3) + 2x = -4y*6x + (-4y)*(-3) +2x = -24xy + 12y+ 2x       

A common mistake is to forget to multiply the minus signs, always include the sign when multiplying numbers!

2) Now that we have expanded both sides, we can put them back together:

          24xy - 6x -24xy + 12y + 2x = 0

3) Next step is to gather all the numbers which have the same variables ( x , y or xy)  and add them.

          24xy -24xy - 6x + 2x + 12y = 0 - 4x + 12y = - 4x + 12y = 12y - 4x = 0

          Note that 24xy - 24xy will always equal 0. It is also important to be aware that we can only add the                        numbers which are multiplying the same coefficients.

4) Finally, we can simplify further the final equation 12y -4x by extracting the common factor 4 and obtain:

          12y -4x = 3(4y -x)

Teresa U. GCSE Maths tutor, GCSE Spanish tutor

5 months ago

Answered by Teresa, a GCSE Maths tutor with MyTutor


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

457 SUBJECT SPECIALISTS

£18 /hr

Huong Giang T.

Degree: Mathematics and Statistics (Bachelors) - Edinburgh University

Subjects offered: Maths, Further Mathematics

Maths
Further Mathematics

“Hi! My name is Giang but you can call me Lucy. I am currently studying Mathematics and Statistics at University of Edinburgh. Maths is my favourite subject as I find mathematical concepts very beautiful. Mathematics has huge significa...”

MyTutor guarantee

£18 /hr

Sarah M.

Degree: Biochemistry (Bachelors) - Birmingham University

Subjects offered: Maths, Science+ 2 more

Maths
Science
Chemistry
Biology

“I am a final year Biochemistry student at the University of Birmingham. I have a passion for science and hope to inspire others through teaching; I’m currently applying to become a chemistry teacher. I believe all students have the ab...”

£20 /hr

Natasha B.

Degree: International Management and Modern Languages (Spanish) (Bachelors) - Bath University

Subjects offered: Maths, Spanish+ 2 more

Maths
Spanish
Business Studies
Art

“About me I am currently a first-year student studying International Management and Spanish at the University of Bath.  I lived in Valencia, Spain for 2 years from August2013- August 2015, during which time I studied British A levels a...”

About the author

Teresa U.

Currently unavailable: for new students

Degree: Master in Electronic Engineering in Digital Media Systems (with a year in industry) (Masters) - York University

Subjects offered: Maths, Spanish

Maths
Spanish

“Hi All!  I am an enthusiastic engineering student at the University of York. I moved to York 5 years ago to start my degree and have had the chance to meet great people and do things I never thought I'd end up doing! I enjoy going to ...”

MyTutor guarantee

You may also like...

Posts by Teresa

Expand and Simplify 3x(8y-2) - 4y(6x -3) + 2x = 0

Solve x^​2​ - 10x + 21 = 0 through the following methods: Factorisation, Completing the Square and using the Quadratic Formula

Other GCSE Maths questions

Solve this quadractic equation: x^2 - 8x + 15 = 0

What can I say about the roots of a quadratic equation without actually calculating them?

Solve the Simultaneous Equations -3X + 4Y=11 & X-2Y = -5 to find the values of X and Y

In the generic formula 'y=mx + c,' how do you use the 'm' and 'c' to plot a linear graph?

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