Question

Ayudaaaa porfavorrrr con el desarrollo por favor

Answer 1

1.
A) 11x^6 • 8x^2 = 88x^8

B) 9z^4 • (7zx^3 + 4x^2)
= 63x^3z^5 + 36x^2z^4

C) (2y^5 + 3x^2) • (2y^5 + 3x^2)
= 4y^10 + 6x^2y^5 + 6x^2y^5 + 9x^4
= 4y^10 + 12x^2y^5 + 9x^2

D) (5y^3 - 2x) • (2y^3 - 6x^2)
= 10y^6 - 30x^2y^3 - 4xy^3 + 12x^3

E) (7a^4 + 6y^4) • (2a^3 + 4y^2 + 5y^3a)
= 14a^7 + 28a^4y^2 + 35a^5y^3 + 12a^3y^4 + 24y^6 + 30ay^7

F) (5b^4 + 3b^2 - 2y^3a) • (2b + 4a + 5ab)
= 10b^5 + 20ab^4 + 25ab^5 + 6b^3 + 12ab^2 + 15ab^3 - 4aby^3 - 8a^2y^3 - 10a^2b


2.
A=3x + 1
B=4x - 5
C=x^2 - 1
D=x^2 + 2x + 1

A) a • b
= (3x + 1) • (4x - 5)
= 12x^2 - 15x + 4x - 5
= 12x^2 - 11x - 5

B) d • (a + d)
= (x^2 + 2x + 1) • [(3x + 1) + (x^2 + 2x + 1)]
= (x^2 + 2x + 1) • [3x + 1 + x^2 + 2x + 1]
= (x^2 + 2x + 1) • (x^2 + 5x + 2)
= x^4 + 5x^3 + 2x^2 + 2x^3 + 10x^2 + 4x + x^2 + 5x + 2
= x^4 + 7x^3 + 13x^2 + 9x + 2

C) c • d
= (x^2 - 1) • (x^2 + 2x + 1)
= x^4 + 2x^3 + x^2 - x^2 - 2x - 1
= x^4 + 2x^3 - 2x - 1

D) b • (b - a)
= (4x - 5) • [(4x - 5) - (3x + 1)]
= (4x - 5) • [4x - 5 - 3x - 1]
= (4x - 5) • [x - 6]
= 4x^2 - 24x - 5x + 30
= 4x^2 - 29x + 30

E) (a + b) • (c + d)
= [(3x + 1) + (4x - 5)] • [(x^2 - 1) + (x^2 + 2x + 1)]
= [3x + 1 + 4x - 5] • [x^2 - 1 + x^2 + 2x + 1]
= [7x - 4] • [2x^2 + 2x]
= 14x^3 + 14x^2 - 8x^2 - 8x
= 14x^3 + 6x^2 - 8x

F) a • c + b • c
= [(3x + 1) • (x^2 - 1)] + [(4x - 5) • (x^2 - 1)]
= [3x^3 - 3x + x^2 - 1] + [4x^3 - 4x - 5x^2 + 5]
= 3x^3 - 3x + x^2 - 1 + 4x^3 - 4x - 5x^2 + 5
= 7x^3 - 4x^2 - 7x + 4