Ask Singapore Homework?
Upload a photo of a Singapore homework and someone will email you the solution for free.
Question
Secondary 1 | Maths
One Answer Below
Anyone can contribute an answer, even non-tutors.
Very confusing..... what should we do first? How do you expand 4(x-4) squared? Is it possible to simplify (x-2)(x+5)? Is there a way to join the fractions together?
Date Posted: 4 years ago
Views: 281
[2(x-2)(x-4)]/[x²(x+5)]
Just treat it like your normal fractions.
Realise that
(x - 4)² = (x - 4)(x - 4)
(x + 5)² = (x + 5)(x + 5)
So you can cancel out the common terms (x - 4) and (x + 5) in the numerator and denominator for both fractions.
Its the same way as typical multiplication of fractions,
eg. 2/5 x 5/3 = 2/3 , where the 5s cancel each other out.
Realise that
(x - 4)² = (x - 4)(x - 4)
(x + 5)² = (x + 5)(x + 5)
So you can cancel out the common terms (x - 4) and (x + 5) in the numerator and denominator for both fractions.
Its the same way as typical multiplication of fractions,
eg. 2/5 x 5/3 = 2/3 , where the 5s cancel each other out.
This works because both fractions are connected by a multiplication sign, in which we can directly multiply the numerators together and multiply the denominators together, just like we normally did with numbers (3/7 x 4/9 = 12/63 for example).
Had the two fractions been connected by an addition sign, nothing much could be done.
Had the two fractions been connected by an addition sign, nothing much could be done.
See 1 Answer
done
{{ upvoteCount }} Upvotes
clear
{{ downvoteCount * -1 }} Downvotes
Workings
Date Posted:
4 years ago
Thank you!
360 Tutoring Program