find the factors of 27 + y3
Answers
Answered by
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Answer:
Step-by-step explanation:Q..27+y³
→3³+y³
→( a³+ b³ = [a+b] [a² - ab + b²] )
→( 3+y) ( 9 - 3y+y²)
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0
Concept
In algebra, a quadratic equation is any equation that can be rearranged into canonical form. Where x represents an unknown number and a, b, and c represent a known number. Where a ≠ 0.
Given
The equation 27+y^3 is given
Find
We have to find the factor given equation
Solution
The steps are as follow:
- The given equation 27+y^3 can be written as y^3+3^3
- The y^3+3^3 is can be compared as a^3+b^3
- a^3+b^3 can we written as (a-b)(a^2+b^2+ab)
- So by comparing this with y^3+3^3 we get the factor as (y-3)(y^2+9+3y)
Hence the factor of 27 + y^3 will be (y-3)(y^2+9+3y)
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