Quiz about Prodotti Notevoli

Question 1

Vero o Falso?

Il polinomio $$2x^{4\ }-5x^2y^2-x^3y$$ ha grado 12

Accepted Answer

FALSO

Answer

VERO

Question 2

$$\left(a-2b\right)^3=$$

Accepted Answer

$$a^3-6a^2b+12ab^2-8b^3$$

Answer

$$a^{3\ }-b^3$$

Answer

$$a^3-2ab+b^3$$

Answer

$$a^3-6ab-b^3$$

Question 3

$$4x^6y^4-2x^3y^2\left[3x^2-5x^2\left(xy^2-3y^3\right)\right]-2x^4y^2\left(7x^2y^2-15xy^3-3x\right)=$$

Accepted Answer

0

Answer

$$xy$$

Answer

$$-2x^6y^4$$

Answer

$$2x+y$$

Question 4

$$\left(-2x+1\right)^2+x\left(x-2\right)+\left(x+2\right)\left(x-3\right)-\left(3-x\right)\left(3+x\right)=$$

Accepted Answer

$$7x^2-7x-14$$

Answer

$$7x^2$$

Answer

$$7x^2-14$$

Answer

$$-7x+14$$

Question 5

$$\left(x+2y\right)^3-x\left(x+2y\right)^2-2xy\left(x+4y\right)=$$

Accepted Answer

$$8y^3$$

Answer

$$-8x^3$$

Answer

$$-8y^3$$

Answer

$$8x^3$$

Question 6

Completa la seguente espressione in modo da ottenere un quadrato di binomio:

$$4x^2-20x+.....$$

Accepted Answer

$$25$$

Answer

$$100$$

Answer

$$64$$

Answer

$$36$$

Question 7

Paolo sviluppa l'espressione $$\left(x-3y-2\right)^2$$ scrivendo come risultato $$x^2+9y^2-4-6xy+4x+12y$$ . Quanti errori ha commesso?

Accepted Answer

2

Answer

Nessuno

Answer

1

Answer

3

Question 8

Quale delle seguenti espressioni traduce l'espressione:

"Sottrai, dal quadrato della somma tra a e 2b, il quadrato della somma tra a e b"

Accepted Answer

$$\left(a+2b\right)^2-\left(a+b\right)^2$$

Answer

$$\left(a+2b\right)^3-\left(a+b\right)^3$$

Answer

$$\left(a+2b\right)^2+\left(a+b\right)^2$$

Answer

$$\left(a+b\right)^2-\left(a+2b\right)^2$$

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