Fully factorise and simplify (x^2 +7x + 10) / (x^2 - 25)

Simplify the numerator (top) by finding the pair of numbers which multiply together to give the C term of the quadratic, and add to give the B term. This gives 2 and 5 so the equation becomes (x+2)(x+5) / (x^2 - 25)Using the difference of two squares, the denominator can be split into (x+5)(x-5)The equation is now (x+2)(x+5) / (x+5)(x-5) and we can cancel out the (x+5) terms from the top and bottom, giving us a final answer of (x+2) / (x-5)

Answered by Nikolai P. Maths tutor

3183 Views

See similar Maths GCSE tutors

Related Maths GCSE answers

All answers ▸

How can graphs be used in solving equations?


A cylinder of base radius 2x and height 3x has the same volume as a cone of base radius 3x and height h. Find h in terms of x.


Solve the simultaneous equations: 3x+5y=19, 4x-2y=-18


z = 3x + 5y, if x = 7 and z = 41, what is 2y?


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 2013–2024

Terms & Conditions|Privacy Policy
Cookie Preferences