Grade 128 grade maths
Factorise the expressions and divide them as directed. (5p^2 –25p+20)÷(p–1)
Factorise the expressions and divide them as directed.
(5p^2 –25p+20)÷(p–1)
1 Answer
Harshit Singh
Dear Student
Step 1: Take 5 common from the equation, 5p^2–25p+20, we get
5p^2–25p+20 = 5(p^2–5p+4)
Step 2: Factorize p^2–5p+4
p^2–5p+4 = p^2–p-4p+4 = (p–1)(p–4)
Step 3: Solve original equation (5p^2–25p+20)÷(p–1)
= 5(p–1)(p–4)/(p-1)
= 5(p–4)
Thanks
Step 1: Take 5 common from the equation, 5p^2–25p+20, we get
5p^2–25p+20 = 5(p^2–5p+4)
Step 2: Factorize p^2–5p+4
p^2–5p+4 = p^2–p-4p+4 = (p–1)(p–4)
Step 3: Solve original equation (5p^2–25p+20)÷(p–1)
= 5(p–1)(p–4)/(p-1)
= 5(p–4)
Thanks
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