Divide y^3 - 125 by y - 5. please answer please and don't spam the answer of this question is y^2+5y+25 please answer
Answers
Answered by
1
Step-by-step explanation:
(y³ - 125)=y³-(5³)
by applying the formula a³-b³= (a-b)(a²+ab+b²)
here let a= y and b=5
we get,
y³-(5³)=( y - 5) (y²+5y+25)----------(1)
Now divide equation 1 by y-5
we get,
y³-(5³)/(y - 5)=( y - 5) (y²+5y+25)/(y-5)
=y²+5y+25
Answered by
16
ANSWER.
- Quotient: y² + 5y + 25
- Remainder: 0
SOLUTION.
By division method, we can find out the quotient and remainder.
y - 5) y³ - 125 ( y² + 5y + 25
y³ - 5y²
– +
–––––––––––––––––––––
5y² - 125
5y² - 25y
– +
–––––––––––––––––––––
25y - 125
25y - 125
– +
–––––––––––––––––––––
0
Therefore,
→ Quotient = y² + 5y + 25
→ Remainder = 0
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