simplify ( y^2 - 7y+4) ( 3y^2 -2) + ( y-1) ( y^2- 2y)
Answers
Answered by
42
Given :–
- An equation, (y² – 7y + 4)(3y² – 2) + (y – 1)(y² – 2y)
To Find :–
- Simplify the given equation.
Solution :–
The given equation is,
⟹ (y² – 7y + 4)(3y² – 2) + (y – 1)(y² – 2y)
Open the both small brackets.
⟹ [3y⁴ – 21y³ + 10y² – 14y – 8] + [y³ – y² – 2y² – 2y]
Now, open the both big brackets,
⟹ 3y⁴ – 21y³ + 10y² – 14y – 8 + y³ – y² – 2y² – 2y
Arrange the same variable numbers,
⟹ 3y⁴ – 21y³ + y³ + 10y² – 3y² – 14y – 2y – 8
Now, solve this.
We obtain,
⟹ 3y⁴ – 20y³ + 7y² – 16y – 8
Hence,
The simplified equation of the given equation (y² – 7y + 4)(3y² – 2) + (y – 1)(y² – 2y) is 3y⁴ – 20y³ + 7y² – 16y – 8.
Answered by
7
Answer:
Answer to your question:-
→(y²-7y+4)(3y²-2y)+(y²+1)(y²+2y)
=>3y⁴-2y²-21y³+14y+12y²-8+y³+2y²+y²+2y
=>3y⁴+13y²-20y³+16y-8
So, this is the answer
Hope helped!!
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