MYTUTOR SUBJECT ANSWERS

261 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

6 months ago

Answered by Teresa, a GCSE Maths tutor with MyTutor


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

466 SUBJECT SPECIALISTS

£36 /hr

Joe B.

Degree: Mathematics G100 (Bachelors) - Bath University

Subjects offered:Maths, Further Mathematics + 4 more

Maths
Further Mathematics
Economics
.STEP.
.MAT.
-Personal Statements-

“About Me Hi, I'm Joe, a first year mathematics student from Luton studying at Bath University. I am an accomplished mathematician and economist, having achieved A* grades in A Level Maths, Further Maths and Economics in June 2016. As ...”

£18 /hr

Sam T.

Degree: Mathematical Physics (Bachelors) - Edinburgh University

Subjects offered:Maths, Physics+ 1 more

Maths
Physics
Chemistry

“I’m studying Physics with units in Maths and Chemistry. I really enjoy helping other people find a love for those subjects even if they think they're the worst.”

£18 /hr

Joseph B.

Degree: Accounting and Finance (Bachelors) - LSE University

Subjects offered:Maths, Physics+ 1 more

Maths
Physics
-Personal Statements-

“Previously I have found that all pupils learn differently, so need to be taught differently, thus, tailoring my lessons to suit individuals.”

MyTutor guarantee

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

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

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

Find the possible values of x when x^2+8x+15=0

What is the best way to study for a Maths exam?

View GCSE Maths tutors

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

mtw:mercury1:status:ok