Quiz about Prodotti notevoli

Question 1

$$\left(a+b\right)\left(a-b\right)=$$

Accepted Answer

$$a^2-b^2$$

Answer

$$2a$$

Answer

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

Answer

$$a^2+b^2$$

Question 2

Risolvi:

$$\left(x-5\right)\left(x+5\right)=$$

Accepted Answer

$$x^2\ -25$$

Answer

$$x^2-10$$

Answer

$$2x-25$$

Answer

$$x^2+25$$

Question 3

Risolvi:

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

Accepted Answer

$$a^4-9$$

Answer

$$a^2\ -6$$

Answer

$$a^2-9$$

Answer

$$a^4-6$$

Question 4

Risolvi:

$$\left(2xy-2\right)\left(2+2xy\right)$$ =

Accepted Answer

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

Answer

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

Answer

$$4+4x^2y^2$$

Answer

$$4x^4y^4-4$$

Question 5

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

Accepted Answer

$$a^2+b^2+2ab$$

Answer

$$a^2+b^2$$

Answer

$$a^2-b^2$$

Answer

$$a^2b^2$$

Question 6

Risolvi:

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

Accepted Answer

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

Answer

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

Answer

$$a^2+2ab+b^2$$

Answer

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

Question 7

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

Accepted Answer

$$16x^2+9+24x$$

Answer

$$16x^2+9$$

Answer

$$16x^2+9+12x$$

Answer

$$8x^2+9+12x$$

Question 8

$$\left(2x-6y\right)^2=$$

Accepted Answer

$$4x^2+36y^2-24xy$$

Answer

$$2x^2+6y^2-12xy$$

Answer

$$4x^2-36y+24xy$$

Answer

$$4x^2+36y^2-24xy^2$$

Question 9

Quanto vale:

$$\left(x+4\right)\left(x-4\right)$$

se $$x=5$$ ?

Accepted Answer

$$9$$

Answer

$$8$$

Answer

$$10$$

Answer

$$0$$

Question 10

Quanto vale:

$$\left(100-x^2\right)^2$$

se $$x=10$$ ?

Accepted Answer

$$0$$

Answer

$$10000$$

Answer

$$100$$

Answer

$$1$$

Question 11

$$\left(5xy-2\right)\left(2+5xy\right)$$ = $$5x^2y^2-4$$

Quanti errori sono presenti?

Accepted Answer

1

Answer

Nessuno

Answer

2

Answer

3

Question 12

$$\left(3y-2x^2\right)^2$$ = $$9y^2-4x^2-6x^2y$$

Quanti errori sono presenti?

Accepted Answer

3

Answer

Nessuno

Answer

1

Answer

2

Question 13

Completa il quadrato:

Accepted Answer

3x e 9

Answer

x+3 e 6

Answer

3x e 6

Answer

$$x^2$$ e 9

Question 14

BONUS!

$$\left(x-3y-2\right)^2$$ = $$x^2+9y^2-4-6xy+4x+12y$$

Quanti errori sono presenti?

Accepted Answer

2

Answer

Nessuno

Answer

1

Answer

3

Question 15

BONUS!

Risolvi:

$$\left(x+y\right)^3=$$

Accepted Answer

$$x^3+3x^2y+3xy^2+y^3$$

Answer

$$x^3+y^3$$

Answer

$$x^3+2xy+y^3$$

Answer

$$x^3+x^2y+xy^2+y^3$$

Question 16

BONUS!

Risolvi:

$$\left(x-y\right)^3=$$

Accepted Answer

$$x^3-3x^2y+3xy^2-y^3$$

Answer

$$x^3-y^3$$

Answer

$$x^3+2xy+y^3$$

Answer

$$x^3+3x^2y-3xy^2-y^3$$

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