Question

AYUDA PORFA ES URGENTE DOY CORONITA

Answer 1

Respuesta:

Termine..., este gran trabajo, espero te sirva

Explicación paso a paso:

1)

a. $(x - 2)(x + 3) + (x + 1)^{3}$

$x^{2} + x - 6 + x^{3} + 1^{3} + 3(x^{2} )(1) + 3(x)(1^{2})\\x^{3} + 4x^{2}+ 4x - 5$

b. $(x - y)^{3} - x(x - y)(x + y)$

$x^{3} - 3x^{2}y + 3xy^{3} - y^{3} - x(x^{2} - y^{2})\\x^{3} - 3x^{2}y + 3xy^{3} - y^{3} - x^{3} + xy^{2}\\- 3x^{2}y + 4xy^{2} - y^{3}\\-x(3x - y)(x - y)$

c. $2(a + 3b^{2} )^{2} - 3(2a - b)^{3}$

$2(a{2} + 2a3b^{2} + (3b^{2})^{2}) - 3(8a^{3} - 12a^{2}b + 6ab^{2} - b^{3})\\18b^{4} + 12ab^{2} + 2a^{2} - 24a^{3} + 36a^{2}b - 18ab^{2} + 3b^{3}\\18b^{4} - 24a^{3} + 36a^{2}b - 6ab^{2} + 3b^{3} + 2a^{2}$

d. $(2m - n)^{3} - (2m + n^3})$

$8m^{3} - 12m^{2}n + 6mn^{2} - n^{3} - 2m - n^{3}\\8m^{3} - 12m^{2}n + 6mn^{2} - 2n^{3} - 2m\\-2(-4m^{3} + 6m^{2}n - 3mn^{2}+ m + n^{3})$

2)

a.$m^{4} + 9 - 6m^{2}$

$(m^{2})^{2} - 2(3)m^{2} + 3^{2}\\(m^{2} + 3)^{2}$

b.$16a^{2} - 24ac + 9c^{2}$

$(3c)^{2} - 2(3c)(4a) + (4a)^{2}\\(3c - 4a)^{2}$

c.$49x^{2} - 42xy + 9y^{2}$

$(7x)^{2} - 2(7x)(3y) + (3y)^{2}\\(7x - 3y)^{2}$

d.$x^{8} + 36y^{6} - 12x^{4}y^{3}$

$(x^{4})^{2} - 2(x^{4})(6y^{3} ) + (6y^{3})^{2} \\(x^{4} - 6y^{3})^{2}$

3)

a.$a^{2} - 12a + 11$

$(a - 11)(a - 1)$

b.$n^{2} - 16n - 36$

$(n - 18)(n + 2)$

c.$2x^{2} + 5x - 3$

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

d.$a^{2} by - a^{2} bc + a^{2} xy - a^{2} cx$

$a^{2}(by - bc + xy - cx)\\a^{2}(b(y - c) + x(y - c))\\a^{2}(y - c)(b + x)$