Είναι αλήθεια ότι
(a + b)2 = a2 + b2 + 2ab ;
παραγοντοποίηση
Quiz
•
Mathematics
•
10th Grade
•
Medium
giannis xantzis
Used 6+ times
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20 questions
Show all answers
1.
MULTIPLE CHOICE QUESTION
30 sec • 1 pt
Είναι αλήθεια ότι
(a + b)2 = a2 + b2 + 2ab ;
Ν Α Ι
Ο Χ Ι
Answer explanation
Στην πρόσθεση, δεν παίζει ρόλο η σειρά.
Οπότε α2 + 2ab + b2 είναι ίδιο με το a2 + b2 + 2ab.
2.
MULTIPLE CHOICE QUESTION
30 sec • 1 pt
Είναι αλήθεια ότι
(-α - b)2 = (a + b)2 ;
Ν Α Ι
Ο Χ Ι
Answer explanation
Είπαμε ότι
(α + b)2 = a2 + 2ab + b2
και (-a - b)2 = a2 + 2ab + b2 .
Άρα είναι ίδια
3.
MULTIPLE CHOICE QUESTION
30 sec • 1 pt
x2 - 6x + 9 = . . .
(x + 3)2
(x - 3)2
(3x - 1)2
Answer explanation
x2 - 6x + 9 =
= x2 - 2 . x . 3 + 32 =
= (x - 3)2
4.
MULTIPLE CHOICE QUESTION
30 sec • 1 pt
25x2 - 10x + 1 = . . .
(x - 5)2
(5x + 1)2
(5x - 1)2
Answer explanation
25x2 - 10x + 1 =
= (5x)2 - 2 . 5x . 1 + 12 =
= (5x - 1)2
5.
MULTIPLE CHOICE QUESTION
30 sec • 1 pt
Είναι αλήθεια ότι α2 - β2 = (α + β) . (α - β) ;
Ν Α Ι
Ο Χ Ι
6.
MULTIPLE CHOICE QUESTION
30 sec • 1 pt
x2 - 9 = (x - 3) . (x + 3)
Σ Ω Σ Τ Ο
Λ Α Θ Ο Σ
Answer explanation
Το (x - 3) . (x + 3) είναι ίδιο με
το (x + 3) . (x - 3) , γιατί στον
πολλαπλασιασμό δεν παίζει ρόλο η σειρά.
7.
MULTIPLE CHOICE QUESTION
30 sec • 1 pt
4x2 - 9 = . . .
(4x + 9) . (4x - 9)
(4x + 3) . (4x - 3)
(2x + 3) . (2x - 3)
Answer explanation
4x2 - 9 =
= (2x)2 - (3)2 =
= (2x + 3) . (2x - 3)
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