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)

NP
Answered by Nikolai P. Maths tutor

3889 Views

See similar Maths GCSE tutors

Related Maths GCSE answers

All answers ▸

Can two shelves of 0.72 meters long each store 50 30mm wide textbooks?


Find the value of X and Y if X^2 + Y^2 = 13 and 2X + Y = 1


How to solve the maths GCSE question about Hannah's sweets that went viral


what is the value of 27 to the power of -2/3


We're here to help

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

© MyTutorWeb Ltd 2013–2025

Terms & Conditions|Privacy Policy
Cookie Preferences