Question

Want 75 total points? for 75 total you could also answer this other optional thing if you want

Answer 1

Answer:

Question d

$\sf -10a^2c+20ac-5ac^3$

Factor out common term -5:

$\sf \implies -5(2a^2c-4ac+ac^3)$

Factor our common term a:

$\sf \implies -5a(2ac-4c+c^3)$

Factor out common term c:

$\sf \implies -5ac(2a-4+c^2)$

Question f

$\sf 10c^3d-8cd^2+2cd$

Factor out common term 2:

$\sf \implies 2(5c^3d-4cd^2+cd)$

Factor out common term c:

$\sf \implies 2c(5c^2d-4d^2+d)$

Factor out common term d:

$\sf \implies 2cd(5c^2-4d+1)$

Answer 2

We have to factorise?

Let's see

#1

• -10a²c+20ac-5ac³
• -5ac³-10a²c+20ac

Take -5ac common

• -5ac(c²+2a-4)

#2

• 10c³d-8cd²+2cd
• 2cd(5c²-4d+1)

Done!