Quiz about Casos de factorización I

Question 1

Factorizando por diferencia de cuadrados perfectos

$$25y^2-49x^2$$

da como resultado

Accepted Answer

$$\left(5y-7x\right)\left(5y+7x\right)$$

Answer

$$\left(5y-7x\right)^2\left(5y+7x\right)^2$$

Answer

$$\left(25y-49x\right)\left(25y+49x\right)$$

Answer

$$\left(25y^2-49x^2\right)\left(25y^2+49x^2\right)$$

Question 2

Factorizando por trinomio cuadrado perfecto

$$25a^2-30a+9$$

da como resultado

Accepted Answer

$$\left(5a-3\right)^2$$

Answer

$$\left(5a+3\right)^2$$

Answer

$$\left(5a-3\right)\left(5a+3\right)$$

Answer

$$\left(5a-3\right)^{ }$$

Question 3

Factorizando el trinomio de la forma $$x^{2n}+bx^n+c$$

$$x^2-17x-60$$

da como resultado

Accepted Answer

$$\left(x-20\right)\left(x+3\right)$$

Answer

$$\left(x+20\right)\left(x-3\right)$$

Answer

$$\left(x-12\right)\left(x-5\right)$$

Answer

$$\left(x-12\right)\left(x+5\right)$$

Question 4

Factorizando por suma de cubos perfectos

$$8x^3+125y^3$$

da como resultado

Accepted Answer

$$\left(2x+5y\right)\left(4x^2-10xy+25y^2\right)$$

Answer

$$\left(2x+5y\right)\left(4x^2+10xy+25y^2\right)$$

Answer

$$\left(2x-5y\right)\left(4x^2+10xy+25y^2\right)$$

Answer

$$\left(2x+5y\right)\left(8x^2-10xy+125y^2\right)$$

Question 5

Factorizando por diferencia de cubos perfectos

$$27a^3-64b^3$$

da como resultado

Accepted Answer

$$\left(3a-4b\right)\left(9a^2+12ab+16b^2\right)$$

Answer

$$\left(3a+4b\right)\left(9a^2-12ab-16b^2\right)$$

Answer

$$\left(3a-4b\right)\left(27a^2+12ab+64b^2\right)$$

Answer

$$\left(27a-64b\right)\left(9a^2+12ab+16b^2\right)$$

Question 6

Factorizando el trinomio de la forma $$ax^{2n}+bx^n+c$$

$$2x^2+5x+2$$

da como resultado

Accepted Answer

$$\left(x+2\right)\left(2x+1\right)$$

Answer

$$\frac{\left(x+2\right)\left(2x+1\right)}{2}$$

Answer

$$\left(2x+4\right)\left(2x+1\right)$$

Answer

$$\left(2x+2\right)\left(2x+1\right)$$

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