Quiz about PRODUCTOS NOTABLES 9º

Question 1

$$(2x^2+5y^2)^3=$$ Aplicar productos notables para resolver el cubo de una suma de dos cantidades.

Accepted Answer

$$8x^6+60x^4y^2+150x^2y^4+125y^6$$

Answer

$$4x^6+10x^2y^4+25y^6$$

Answer

$$4x^6+25y^6$$

Answer

$$4x^6+30x^4y^2+75x^2y^4+50y^6$$

Question 2

Aplicar productos notables para resolver el cubo de la diferencia de dos cantidades. $$(2a^2-3b^2)^3=$$

Accepted Answer

$$8a^6-36a^4b^2+54a^2b^4-27b^6$$

Answer

$$8a^6+36a^4b^2+54a^2b^4+27b^6$$

Answer

$$16a^6-36a^4b^2+27a^2b^4-9b^6$$

Answer

$$16a^6+27a^4b^2+27a^2b^4+9b^6$$

Question 3

Desarrollar la siguiente potencia aplicando la regla de productos notables: $$(2x^2+y^2-5z^2)^2=$$

Accepted Answer

$$4x^4+4x^2y^2+y^4-20x^2z^2-10y^2z^2+25z^4$$

Answer

$$2x^4+2x^2y^2+y^4-10x^2z^2-5y^2z^2+25z^4$$

Answer

$$4x^4+4x^2y^2+y^4-20x^2z^2+10y^2z^2+25z^4$$

Answer

$$4x^4+4x^2y^2+y^4-20x^2z^2+10y^2z^2-25z^4$$

Question 4

$$\left(2a-3b-4c\right)^2=$$

Accepted Answer

$$4a^2-12ab-16ac+9b^2+24bc+16c^2$$

Answer

$$4a^2-12ab+16ac-9b^2-24bc+16c^2$$

Answer

$$a^2-3ab+4ac+9b^2-24bc+16c^2$$

Answer

$$2a^2-6ab+8ac+3b^2-8bc+4c^2$$

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