Quiz about Productos notables

Question 1

Resuelve $$(x^3b-2)(x^3b+2)$$

Accepted Answer

$$x^6b^2-4$$

Answer

$$x^6b^2-4x^3b+4$$

Answer

$$x^6b^2-9x^3b+14$$

Answer

$$x^6b^2+4$$

Question 2

Resuelve $$(x^3b-2)(x^3b-7)$$

Accepted Answer

$$x^6b^2-9x^3b+14$$

Answer

$$x^6b^2-4$$

Answer

$$x^6b^2-9x^3b-14$$

Answer

$$x^6b^2+4$$

Question 3

Resuelve $$\left(\frac{3}{4}x^4+\frac{2}{3}y^3\right)^2$$

Accepted Answer

$$\frac{9}{16}x^8+x^4y^3+\frac{4}{9}y^6$$

Answer

$$\frac{9}{16}x^8+\frac{6}{12}x^4y^3+\frac{4}{9}y^6$$

Answer

$$\frac{6}{8}x^8+x^4y^3+\frac{4}{6}y^6$$

Answer

$$\frac{9}{16}x^8+2\ x^4y^3+\frac{4}{9}y^6$$

Question 4

La respuesta correcta para el ejercicio es: $$\left(4y^5+\frac{3}{2}\right)\left(4y^5-\frac{3}{2}\right)=$$

Accepted Answer

$$16y^{10}-\frac{9}{4}$$

Answer

$$16y^{25}-\frac{9}{4}$$

Answer

$$16y^{10}-\frac{6}{4}$$

Answer

$$8y^{10}-\frac{6}{4}$$

Question 5

La respuesta al ejercicio $$\left(-5y+4x\right)\left(4x+5y\right)$$ es

Accepted Answer

$$16x^2-25y^2$$

Answer

$$16x^4-25y^4$$

Answer

$$16x^2+25y^2$$

Answer

$$8x^2-10y^2$$

Question 6

La respuesta al ejercicio $$\left(4m+\frac{1}{4}\right)\left(4m+\frac{1}{2}\right)=$$ es

Accepted Answer

$$16m^2+3m+\frac{1}{8}$$

Answer

$$16m^2+12m+\frac{2}{6}$$

Answer

$$16m^2+3m+\frac{2}{8}$$

Answer

$$16m^2+12m+\frac{2}{6}$$

Question 7

La respuesta al ejercicio $$\left(4x^2+3\right)\left(4x^2-8\right)=$$ es:

Accepted Answer

$$8x^4-20x^2-24$$

Answer

$$16x^4-20x^2-24$$

Answer

$$16x^2-20x^1-24$$

Answer

$$16x^4+20x^2+24$$

Question 8

La respuesta del ejercicio $$\left(2b+3\right)^3$$ es:

Accepted Answer

$$8b^3+36b^2+54b+27$$

Answer

$$8b^2+36b^{ }+54b+27$$

Answer

$$6b^3+36b^2+54b+9$$

Answer

$$8b^3+12b^2+6b+27$$

Question 9

La respuesta al ejercicio $$\left(5-2n\right)^3$$ es

Accepted Answer

$$125-150n+60n^2-8n^3$$

Answer

$$25-150n+60n^2-4n^3$$

Answer

$$125-50n+20n^2-8n^3$$

Answer

$$125+150n+60n^2+8n^3$$

Question 10

$$\left(2xy-y^3\right)^2$$

Accepted Answer

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

Answer

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

Answer

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

Answer

$$4xy^2+4xy+y^5$$

Question 11

$$\left(5x^2-3y^3\right)\left(5x^2+3y^3\right)$$

Accepted Answer

$$25x^4-9y^6$$

Answer

$$10x^2+25y^2$$

Answer

$$10x^4-6y^6$$

Answer

$$25x^4+9y^9$$

Question 12

$$\left(a^4+2b\right)^3$$

Accepted Answer

$$a^{12}+6a^8b+12a^4b^2+8b^3$$

Answer

$$a^{12}-6a^8b+12a^4b^2-8b^3$$

Answer

$$a^7+6a^6b+12a^4b^2+8b^3$$

Question 13

$$\left(6x\ -\ 5y\right)^2=$$

Accepted Answer

$$36x^2\ -60xy\ +\ 25y^2$$

Answer

$$6x^2\ -\ 11xy\ +\ 5y^2$$

Answer

$$36x\ -\ 30xy\ +\ 25y$$

Answer

$$6x\ -\ 11xy\ +\ 25y$$

Question 14

$$\left(x\ +\ 2y\right)\left(x-2y\right)=$$

Accepted Answer

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

Answer

$$x\ -\ y$$

Answer

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

Answer

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

Question 15

$$\left(a\ -\ 7\right)\left(a\ +\ 12\right)\ =$$

Accepted Answer

$$a^2\ +5a\ -84$$

Answer

$$a^2\ -\ 84a\ +\ 5$$

Answer

$$a^2\ -\ 5a\ -\ 84$$

Answer

$$a^2\ +\ 5a\ +\ 84$$

Question 16

Resuelve $$(2a^3b-5)(2a^3b+5)$$

Accepted Answer

$$4a^6b^2-25$$

Answer

$$4a^6b^2+25$$

Answer

$$4a^6b^2-10a^3b+25$$

Answer

$$4a^6b^2+10a^3b+25$$

Question 17

Resuelve $$\left(\frac{3}{4}x^4+\frac{2}{3}y^3\right)^2$$

Accepted Answer

$$\frac{9}{16}x^8+x^4y^3+\frac{4}{9}y^6$$

Answer

$$\frac{9}{16}x^8+\frac{6}{12}x^4y^3+\frac{4}{9}y^6$$

Answer

$$\frac{6}{8}x^8+x^4y^3+\frac{4}{6}y^6$$

Answer

$$\frac{9}{16}x^8+2\ x^4y^3+\frac{4}{9}y^6$$

Question 18

$$\left(5x^2-3y^3\right)\left(5x^2+3y^3\right)$$

Accepted Answer

$$25x^4-9y^6$$

Answer

$$10x^2+25y^2$$

Answer

$$10x^4-6y^6$$

Answer

$$25x^4+9y^9$$

Question 19

Resuelve $$\left(2a^2b-5\right)\left(2a^2b+5\right)$$

Accepted Answer

$$4a^4b^2-25$$

Answer

$$4a^4b^2+25$$

Answer

$$4a^4b^2-10a^2b+25$$

Answer

$$4a^4b^2+10a^2b+25$$

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