Question

(10x(x^3+1)-5x^2(3x^2))/(x^3+1)^2

This somehow turns into -5x^4+10x/(x^3+1)^2
Can you explain how?
Thanks!

Answer 1

ax(x^b) = ax^(b+1)

Answer 2

expand the brackets and then collect like terms...

Answer 3

can't do it

Answer 4

ok...

so we'll do it in bits...

do you know the power law for multiplication..?

\[x^a \times x^b = x^{a + b}\]

Answer 5

so what happens to

\[10x \times x^3 + 10x \times 1 =\]

Answer 6

yea I tried that on the 5x and the 3x

Answer 7

and you also need to look at

\[- 5x^2 \times 3x^2 = \]

Answer 8

what would you get...?

Answer 9

-15x^4

Answer 10

and the other part..?

Answer 11

I dont know :/

Answer 12

\[10x^1 \times x^3 + 10x \times 1 = \]

Answer 13

can you simplify this..?

Answer 14

10x^4+10x

Answer 15

ok thats good so you have



do you know about adding and subtracting like terms..? If so can you simplify the above?