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Sagot :
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!
Answer:
Question d
[tex]\sf -10a^2c+20ac-5ac^3[/tex]
Factor out common term -5:
[tex]\sf \implies -5(2a^2c-4ac+ac^3)[/tex]
Factor our common term a:
[tex]\sf \implies -5a(2ac-4c+c^3)[/tex]
Factor out common term c:
[tex]\sf \implies -5ac(2a-4+c^2)[/tex]
Question f
[tex]\sf 10c^3d-8cd^2+2cd[/tex]
Factor out common term 2:
[tex]\sf \implies 2(5c^3d-4cd^2+cd)[/tex]
Factor out common term c:
[tex]\sf \implies 2c(5c^2d-4d^2+d)[/tex]
Factor out common term d:
[tex]\sf \implies 2cd(5c^2-4d+1)[/tex]
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