Quiz about Examen diagnóstico ccm

Question 1

Realiza las operaciones y simplifica: $$4x^2y(-2xy^2)(5x^2y^3)=$$

Accepted Answer

$$-40x^5y^6$$

Answer

$$40x^5y^6$$

Answer

$$12x^4y^6$$

Answer

$$-12x^4y^6$$

Question 2

Realiza las operaciones y simplifica: $$-3x^2y^3(5x^2-2xy+4y^2)=$$

Accepted Answer

$$-15x^4y^3+6x^3y^4-12x^2y^5$$

Answer

$$12x^2y^5-6x^3y^4-15x^4y^3$$

Answer

$$4x^2y^5-2x^3y^4-5x^4y^3$$

Answer

$$2x^2y^5-2x^3y^4-5x^4y^3$$

Question 3

Realiza las operaciones y simplifica: $$(3x-2)(2x^2-7x+1)=$$

Accepted Answer

$$6x^3-25x^2+17x-2$$

Answer

$$6x^3+25x^2-11x-2$$

Answer

$$5x^3-17x^2-11x+2$$

Answer

$$2x^2-4x-1$$

Question 4

Realiza las operaciones y simplifica: $$(3x^2-5x+8)-(2x^2-3x+1)=$$

Accepted Answer

$$x^2-2x+7$$

Answer

$$5x^2-8x+9$$

Answer

$$x^2-8x-7$$

Answer

$$x^2-2x+9$$

Question 5

Realiza las operaciones y simplifica: $$\frac{2x+3}{x+1}+\frac{3x+2}{x+1}=$$

Accepted Answer

Answer

$$\frac{3x+2}{x+1}$$

Answer

$$\frac{x}{x+1}$$

Answer

$$\frac{(2x+1)}{(x-3)}$$

Question 6

Realiza las operaciones y simplifica: $$\frac{senx}{\cos x}-\frac{1}{senx}=$$

Accepted Answer

$$\frac{sen^2x-\cos x}{\left(\cos x\right)\left(senx\right)}$$

Answer

$$\frac{senx-\cos x}{\cos x}$$

Answer

$$\frac{senx}{1}$$

Answer

$$\frac{senx-1}{(\cos x)(senx)}$$

Question 7

Simplifica aplicando leyes de los exponentes: $$\frac{4(x^2y^3)^2}{6(x^3y)^3}$$

Accepted Answer

$$\frac{2y^3}{3x^5}$$

Answer

$$\frac{2y^{13}}{3x^9}$$

Answer

$$\frac{16y^3}{36x^5}$$

Answer

$$\frac{4y^2}{6x}$$

Question 8

Simplifica aplicando leyes de los exponentes: $$\sqrt[]{\left(x^2\right)^3}$$

Accepted Answer

Answer

$$\sqrt[]{x^5}$$

Answer

$$x^{\frac{5}{2}}$$

Answer

$$x^{\frac{2}{3}}$$

Question 9

Factoriza completamente : $$9x^2-25$$

Accepted Answer

$$(3x+5)(3x-5)$$

Answer

$$(9x-5)(9x+5)$$

Answer

$$(3x-5)^2$$

Answer

$$(x+5)(x-5)$$

Question 10

Factoriza y simplifica: $$x^2-8x+16$$

Accepted Answer

$$\left(x-4\right)^2$$

Answer

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

Answer

$$\left(x-8\right)^2$$

Answer

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

Question 11

Factoriza y simplifica: $$15xy^3-35x^2y^2+5xy^2$$

Accepted Answer

$$5xy^2(3y-7x+1)$$

Answer

$$xy(15y^2-35x+5)$$

Answer

$$5xy\left(3y^2-7xy\right)$$

Question 12

Factoriza y simplifica: $$e^x-e^x\cos x$$

Accepted Answer

$$e^x(1-\cos x)$$

Answer

$$e^x(\cos x)$$

Answer

$$e^x(1+\cos x)$$

Answer

$$e^x(-\cos x)$$

Question 13

Factoriza y simplifica: $$2x^2+7x+3$$

Accepted Answer

$$(2x+1)(x+3)$$

Answer

$$(2x+3)(x+1)$$

Answer

$$(2x-3)(x-1)$$

Answer

$$(2x+1)(x-3)$$

Question 14

Factoriza y simplifica: $$\frac{x^2-1}{\left(x+1\right)^2}$$

Accepted Answer

$$\frac{x-1}{x+1}$$

Answer

$$\frac{x-1}{x-1}$$

Answer

$$\frac{x+1}{x-1}$$

Answer

$$\frac{x+1}{x+1}$$

Question 15

Factoriza y simplifica $$\frac{x^2-8x+12}{x^2-36}$$

Accepted Answer

$$\frac{x-2}{x+6}$$

Answer

$$\frac{x+2}{x+6}$$

Answer

$$\frac{x-2}{x}$$

Answer

$$\frac{x+7}{x+6}$$

Question 16

Simplifica el radical: $$\sqrt[]{3x^5}$$

Accepted Answer

$$x^{2\ \ }\sqrt[]{3x}$$

Answer

$$x\ \ \sqrt[]{3}$$

Answer

$$x^{2\ \ }\sqrt[]{3}$$

Answer

$$3\ \ \sqrt[]{x^5}$$

Question 17

Simplifica el radical: $$\sqrt[]{28x^5}$$

Accepted Answer

$$2x^2\ \sqrt[\ \ ]{7x}$$

Answer

$$4x^2\ \ \sqrt[]{7x}$$

Answer

$$4x^{4\ }\ \sqrt[]{7x}$$

Answer

$$2x\ \ \sqrt[]{7x}$$

Question 18

Racionaliza el denominador y simplifica: $$\frac{2}{\sqrt[]{5}}$$

Accepted Answer

$$\frac{2\ \ \sqrt[]{5}}{5}$$

Answer

$$\frac{\sqrt[]{10}}{5}$$

Answer

$$\frac{10}{5}=2$$

Answer

$$\frac{4}{5}$$

Question 19

Racionaliza el denominador y simplifica: $$\frac{\sqrt[]{3}}{\sqrt[]{20}}=$$

Accepted Answer

$$\frac{\sqrt[]{15}}{10}$$

Answer

$$\frac{\sqrt[]{180}}{20}$$

Answer

$$\frac{\sqrt[]{15}}{5}$$

Answer

$$\frac{3\sqrt[]{5}}{10}$$

Question 20

Racionaliza el denominador y simplifica: $$\frac{3}{5-\sqrt[]{2}}$$

Accepted Answer

$$\frac{15+3\ \ \sqrt[]{2}}{23}$$

Answer

$$\frac{5+\sqrt[]{2}}{23}$$

Answer

$$\frac{5+3\ \ \sqrt[]{2}}{21}$$

Answer

$$\frac{15+\ \sqrt[]{2}}{27}$$

Examen diagnóstico ccm

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