Quiz about CUADRADO DE UN BINOMIO

Question 1

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

Accepted Answer

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

Answer

$$x^2-2xy-y^2$$

Answer

$$x^2-y^2$$

Answer

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

Question 2

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

Accepted Answer

Verdadero

Answer

Falso

Question 3

$$\left(2+3t\right)^2=2+12t+9t^2$$

Accepted Answer

Falso

Answer

Verdadero

Question 4

$$\left(6a-5b\right)^2=36a^2-60ab+25b^2$$

Accepted Answer

Verdadero

Answer

Falso

Question 5

$$\left(-q+6\right)^2=q^2-12q+36$$

Accepted Answer

Verdadero

Answer

Falso

Question 6

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

Accepted Answer

$$4x^2+8xy+4y^2$$

Answer

$$-4x^2-8xy+4y^2$$

Answer

$$-4x^2+8xy-4y^2$$

Answer

$$-4x^2+8xy-4y^2$$

Question 7

Question 7.

Accepted Answer

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

Answer

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

Answer

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

Answer

$$\left(DF+FA\right)^2$$

Question 8

Si $$a=-\left(\frac{1}{2}n+1\right)^2\ \ \ $$ y $$b=\left(-\frac{1}{2}n+1\right)^2$$ , entonces $$a+b=$$

Accepted Answer

$$-\frac{3}{2}n$$

Answer

$$-\frac{1}{2}n$$

Answer

$$\frac{1}{2}n$$

Answer

$$\frac{3}{2}n$$

Question 9

Si $$a.b=12$$ y $$a^2+b^2=30$$ , entonces el valor de $$\left(a-b\right)^2$$ es:

Accepted Answer

6

Answer

$$-6$$

Answer

30

Answer

24

Question 10

$$\left(4-\frac{1}{4m}\right)^2=$$

Accepted Answer

$$16-2m^{-1}+\left(4m\right)^{-2}$$

Answer

$$16-\frac{2}{m}+\frac{16}{m^2}$$

Answer

$$16-2m^{-1}+16m^2$$

Answer

$$16-\frac{2}{m}+16m^{-2}$$

Question 11

$$\left(\sqrt[]{7}-\sqrt[]{6}\right)^2=$$

Accepted Answer

$$13-2\sqrt[]{42}$$

Answer

$$13+\sqrt[]{84}$$

Answer

$$\sqrt[]{7}-2\sqrt[]{42}+\sqrt[]{6}$$

Answer

$$13-\sqrt[]{84}$$

Question 12

$$\left(3\sqrt[]{2}-2\sqrt[]{3}\right)^2=$$

Accepted Answer

$$30-12\sqrt[]{6}$$

Answer

$$30+\sqrt[]{72}$$

Answer

$$30-\sqrt[]{72}$$

Answer

$$9\sqrt[]{2}-12\sqrt[]{6}+4\sqrt[]{3}$$

Question 13

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

Accepted Answer

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

Answer

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

Answer

$$x^2-2x^2y^2+y^2$$

Answer

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

Question 14

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

Accepted Answer

$$a^{2x}+2\left(ab\right)^x+b^{2x}$$

Answer

$$\left(ab\right)^{2x}$$

Answer

$$a^{2x}+b^{2x}$$

Answer

$$a^{2x}+2a^x2b^x+b^{2x}$$

Question 15

$$\left(2^m-1\right)^2=$$

Accepted Answer

$$2^{2m}-2^{m+1}+1$$

Answer

$$2^{2m}-4^m+1$$

Answer

$$4^m-4^m+1$$

Answer

$$4^m-2\cdot2^m+1$$

Question 16

$$\left(5^n+3^n\right)^2=$$

Accepted Answer

$$5^{2n}+2\left(15\right)^n+3^{2n}$$

Answer

$$25^n+10^n6^n+9^n$$

Answer

$$25^n+60^n+9^n$$

Answer

$$5^{2n}+60^n+3^{2n}$$

Question 17

$$\left(4^{3n}-4^{-3n}\right)^2=$$

Accepted Answer

$$4^{6n}-2+4^{-6n}$$

Answer

$$4^{9n^2}-2+4^{9n^2}$$

Answer

$$4^{6n}-2\cdot4^{3n}+4^{-6n}$$

Answer

$$4^{9n^2}-2\cdot4^{3n}+4^{9n^2}$$

Question 18

Si $$i$$ es la unidad imaginaria, entonces $$\left(\left(1+i\right)^2\right)^4=$$

Accepted Answer

$$16i^4$$

Answer

$$\left(1+\sqrt[]{-1}\right)^6$$

Answer

$$\left(1+2i+i^2\right)^8$$

Answer

$$1+16i^4+i^8$$

Question 19

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

Accepted Answer

0

Answer

$$-1$$

Answer

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

Answer

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

Question 20

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

Accepted Answer

$$x^2-8$$

Answer

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

Answer

$$-4x-12$$

Answer

$$x^2+4x+4-4x+12$$

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