One of the factors of 61x^3+27y^3+ 180x^2y
Answers
Step-by-step explanation:
(13) One of the factors of 61x^(3)+27y^(3)+ 180x^(2)y is [ (1) 61x^(2)+9y^(2)+3xy, (2) x-3y (3) 61x^(2)+9y^(2)-3xy, (4) 9x-3y]]
I mean sure 100% correct
Given : 61x³ + 27y³ + 180x²y
To find : Factorize
Solution:
61x³ + 27y³ + 180 * x² * y
x = - 3y is one of the zero
lets check
61(-3y)³ + 27y³ + 180(-3y)²y
= 27y³ ( - 61 + 1 + 60)
= 27y³ (0)
hence x = - 3y is one of the zero
=> (x + 3y ) is one of the factor
61x² - 3xy + 9y²
x + 3y _| 61x³ + 27y³ + 180x²y |_
61x³ + + 183x²y
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27y³ - 3x²y
- 3x²y - 9xy²
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27y³ + 0 + 9xy²
27y³ + 9xy²
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0
61x³ + 27y³ + 180x²y = (x + 3y)( 61x² - 3xy + 9y²)
(3) 61x^(2)+9y^(2)-3xy is correct option
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