Explicación paso a paso:
1) (+2)^2 = 4
2) (-1)^2 = 1
3) (x - 4)^2 =
(x)^2 - 2.x.4 + (4)^2 =
x^2 - 8x + 16
4) (2x + 1)^2
(2x)^2 + 2.2x.1 + (1)^2 =
4x^2 + 4x + 1
5) (1 - 3y)^2
(1)^2 - 2.1.3y + (3y)^2 =
1 - 6y + 9y^2
6) (2 + y^2)^2
(2)^2 + 2.2.y^2 + (y^2)^2
4 + 4y^2 + y^4
7) (2 - 2b)^3
(2)^3 - 3.(2)^2.(2b) + 3.(2).(2b)^2 - (2b)^3
8 - 24b + 24b^2 - 8b^3
8) (2x + 3y)^3
(2x)^3 + 3.(2x)^2.(3y) + 3.(2x).(3y)^2 + (3y)^3
8x + 36x^2y + 54xy^2 + 27y^3
9) (1 - a^2)^3
(1)^3 - 3.(1)^2.(a^2) + 3.(1).(a^2)^2 - (a^2)^3
1 - 3a^2 + 3a^4 - a^6
10) (2p + 4q)^3
(2p)^3 + 3.(2p)^2.(4q) + 3.(2p).(4q)^2 + (4q)^3
8p^3 + 48p^2q + 96pq^2 + 64q^3
11) (2x + 5)^3
(2x)^3 + 3.(2x)^2.(5) + 3.(2x).(5)^2 + (5)^3
8x^3 + 60x^2 + 150x + 125
12)
(5a - 3ay^2m)^3
(5a)^3 - 3.(5a)^2.(3ay^2m) + 3.(5a).(3ay^2m)^2 - (3ay^2m)^3
125a^3 + 225a^3y^2m + 135a^3y^4m^2 - 27a^3y6m^3
13) (7a^2b^2 + 5x^4)^3
(7a^2b^2)^3 + 3.(7a^2b^2)^2.( 5x^4) + 3.(7a^2b^2). (5x^4)^2 + (5x^4)^3 =
343a^6b^6 + 735a^4b^4x^4 + 525a^2.b^2.x^8 + 125x^12
14) (d^4 - 5)^3
(d^4)^3 - 3.(d^4)^2.(5) + 3.(d^4).(5)^2 - (5)^3
d^12 - 15d^8 + 75d^4 - 125
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Explicación paso a paso:
1) (+2)^2 = 4
2) (-1)^2 = 1
3) (x - 4)^2 =
(x)^2 - 2.x.4 + (4)^2 =
x^2 - 8x + 16
4) (2x + 1)^2
(2x)^2 + 2.2x.1 + (1)^2 =
4x^2 + 4x + 1
5) (1 - 3y)^2
(1)^2 - 2.1.3y + (3y)^2 =
1 - 6y + 9y^2
6) (2 + y^2)^2
(2)^2 + 2.2.y^2 + (y^2)^2
4 + 4y^2 + y^4
7) (2 - 2b)^3
(2)^3 - 3.(2)^2.(2b) + 3.(2).(2b)^2 - (2b)^3
8 - 24b + 24b^2 - 8b^3
8) (2x + 3y)^3
(2x)^3 + 3.(2x)^2.(3y) + 3.(2x).(3y)^2 + (3y)^3
8x + 36x^2y + 54xy^2 + 27y^3
9) (1 - a^2)^3
(1)^3 - 3.(1)^2.(a^2) + 3.(1).(a^2)^2 - (a^2)^3
1 - 3a^2 + 3a^4 - a^6
10) (2p + 4q)^3
(2p)^3 + 3.(2p)^2.(4q) + 3.(2p).(4q)^2 + (4q)^3
8p^3 + 48p^2q + 96pq^2 + 64q^3
11) (2x + 5)^3
(2x)^3 + 3.(2x)^2.(5) + 3.(2x).(5)^2 + (5)^3
8x^3 + 60x^2 + 150x + 125
12)
(5a - 3ay^2m)^3
(5a)^3 - 3.(5a)^2.(3ay^2m) + 3.(5a).(3ay^2m)^2 - (3ay^2m)^3
125a^3 + 225a^3y^2m + 135a^3y^4m^2 - 27a^3y6m^3
13) (7a^2b^2 + 5x^4)^3
(7a^2b^2)^3 + 3.(7a^2b^2)^2.( 5x^4) + 3.(7a^2b^2). (5x^4)^2 + (5x^4)^3 =
343a^6b^6 + 735a^4b^4x^4 + 525a^2.b^2.x^8 + 125x^12
14) (d^4 - 5)^3
(d^4)^3 - 3.(d^4)^2.(5) + 3.(d^4).(5)^2 - (5)^3
d^12 - 15d^8 + 75d^4 - 125