Math, asked by jiyamanchanda40, 5 months ago

ques11)
factorise 3a⁵-12a²b+12ab² into factors

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urgently needed​
need correct answer otherwise it will be reported​

Answers

Answered by Akay09
1

Answer:

3 {a}^{5 }  - 12 {a}^{3} b + 12a {b}^{2}  = 0

3 {a}^{5}  - 6 {a}^{3} b   \:  - 6 {a}^{3} b \:  + 12a {b}^{2}  = 0

take 3a^3 and -6ab common from this

3 {a}^{3} ( {a}^{2}  - 2b) \:  - 6ab( {a}^{2}  - 2b) = 0

(3 {a}^{3}  - 6b) \: ( {a}^{2}  - 2b) = 0

3 {a}^{3}  - 6b = 0 \: and  \:  \: {a}^{2}  - 2b = 0

3 {a}^{3}  = 6b \:  \:  and \:  \:  {a}^{2}  = 2b

 {a}^{2}  = 2b \:  \: and \:  \: a = 2b

a =  \sqrt{2b}  \: and \: a = 2b

Step-by-step explanation:

Hope this will help you

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