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

OS
Answered by Oscar S. Maths tutor

4298 Views

See similar Maths GCSE tutors

Related Maths GCSE answers

All answers ▸

Work out 2(3/4)*1(5/7). Give your answer in mixed number form.


A,B,C and D are points on a circle. ABCD is a square of side 7 cm. Work out the total area of the shaded regions. Give your answer correct to the nearest whole number.


2x + y = 18; x−y=6


there are 11 sweets in a box four are soft centred and seven hard centred sweets two sweets are selected at random a)calculate the probability that both sweets are hard centred, b) one sweet is soft centred and one sweet is hard centred


We're here to help

contact us iconContact ustelephone icon+44 (0) 203 773 6020
Facebook logoInstagram logoLinkedIn logo

MyTutor is part of the IXL family of brands:

© 2025 by IXL Learning