i) Make y the subject of the expression x = ((a-y)/b))^1/2 ii) Simplify fully (2x^2 − 8)/(4x^2 − 8x)

i) Square both sides of the expression to make x^2=(a-y)/b 

Multiply by b to remove the fraction from the equation and then rearrange to make y the subject.

bx^2=a-y --> y=a-bx^2

ii) First factor out 2 from the numerator to make 2(x^2-4)

Factorize x^2 -4 to (x+2)(x-2) thereby writing the numerator as 2(x+2)(x-2)

Recognize that 4x is the common factor in the demoninator and thereby write the fraction as 2(x+2)(x-2)/4x(x-2)

Cancel the (x-2) from the top and bottom and then rerwite 2(x+2)/4x as x+2/2x

Answered by Oscar S. Maths tutor

4006 Views

See similar Maths GCSE tutors

Related Maths GCSE answers

All answers ▸

Factorise 2e – 4f + ex -2fx


A straight line L1 has equation y = 2x + 4. L2 is parallel to L1 and passes through the point (3,13). What is the equation of L2?


Simplify and solve the following equation: x^2 -8x +15=0


Solve x^2 = 4(x – 3)^2


We're here to help

contact us iconContact usWhatsapp logoMessage us on Whatsapptelephone icon+44 (0) 203 773 6020
Facebook logoInstagram logoLinkedIn logo

© MyTutorWeb Ltd 2013–2025

Terms & Conditions|Privacy Policy
Cookie Preferences