Question

1. Efectuar

(1+x)(x–1) – (4+x)(x–4)

2. Efectuar

(2+x)(x+8) – (5+x)2

3. Efectuar

(5x+1)2

+ (5x–1)2

– 50 x2

4. Efectuar

(x+5)2

– (x–5)2

– 20x

5. Efectuar

(x2

+ 4)(x+2)(x–2) – x4

Answer 1

1.-
(1+x)(x–1) – (4+x)(x–4)
(x+1)(x–1) – (x+4)(x–4)
x^2-1 - (x^2 - 16)
x^2-1 - x^2 + 16
15

2.-
(2+x)(x+8) – (5+x)2
2x+16+x^2+8x - (25+10x+x^2)
10x+16+x^2 - 25-10x-x^2
-9

3.-
(5x+1)2+ (5x–1)2– 50 x^2
2 ((5x)^2 +1)- 50x^2
2 (25x^2+1)-50x^2
50x^2 + 2 -50x^2
2

4.-

(x+5)^2– (x–5)^2– 20x
4 (x)(5) -20x
20x-20x
0

5.-

(x^2+ 4)(x+2)(x–2) – x^4
(x^2+ 4)(x^2-4) – x^4
(x^2)^2– 4^2- x^4
x^4-16-x^4
-16

Answer 2

Respuesta:

Explicación paso a paso:

1.-

(1+x)(x–1) – (4+x)(x–4)

(x+1)(x–1) – (x+4)(x–4)

x^2-1 - (x^2 - 16)

x^2-1 - x^2 + 16

15

2.-

(2+x)(x+8) – (5+x)2

2x+16+x^2+8x - (25+10x+x^2)

10x+16+x^2 - 25-10x-x^2

-9

3.-

(5x+1)2+ (5x–1)2– 50 x^2

2 ((5x)^2 +1)- 50x^2

2 (25x^2+1)-50x^2

50x^2 + 2 -50x^2

2

4.-

(x+5)^2– (x–5)^2– 20x

4 (x)(5) -20x

20x-20x

0

5.-

(x^2+ 4)(x+2)(x–2) – x^4

(x^2+ 4)(x^2-4) – x^4

(x^2)^2– 4^2- x^4

x^4-16-x^4

-16

siiiiiiiii :)))