Question

me ayudarían portavor
Obtener la expresión algebraica que representa cada producto notable

A) (x+z)^{2}
B) (m+8)^{2}
C) (2w+3)^{2}
D) (5+4h)^{2}
E) (6x+9y)^{2}
F) (7a^{2}+5b)^{2}
G) (x-z)^{2}
H) (2u-3v)^{2}
I) (8-5b)^{2}
J) (1-4m)^{2}
K) (1-6xy)^{2}
L) (7t-1)^{2}

Answer 1

Respuesta:

$a)\\\\(x + z)^2\\\\x^2 + 2xz + z^2$

$b)\\\\(m + 8)^2\\\\m^2 + 2(m)(8) + 8^2\\\\m^2 + 16m + 64$

$c)\\\\(2w + 3)^2\\\\(2w)^2 + 2(2w)(3) + 3^2\\\\4w^2 + 12w + 9$

$d)\\\\(5 + 4h)^2\\\\5^2 + 2(5)(4h) + (4h)^2\\\\25 + 40h + 16h^2$

$e)\\\\(6x + 9y)^2\\\\(6x)^2 + 2(6x)(9y) + (9y)^2\\\\36x^2 + 108xy + 81y^2$

$f)\\\\(7a^2 + 5b)^2\\\\(7a^2)^2 + 2(7a^2)(5b) + (5b)^2\\\\49a^4 + 70a^2b + 25b^2$

$g)\\\\(x - z)^2\\\\x^2 - 2(x)(z) + z^2\\\\x^2 - 2xz + z^2$

$h)\\\\(2u - 3v)^2\\\\(2u)^2 - 2(2u)(3v) + (3v)^2\\\\4u^2 - 12uv + 9v^2$

$i)\\\\(8 - 5b)^2\\\\8^2 - 2(8)(5b) + (5b)^2\\\\64 - 80b + 25b^2$

$j)\\\\(1 - 4m)^2\\\\1^2 - 2(1)(4m) + (4m)^2\\\\1 - 8m + 16m^2$

$k)\\\\(1 - 6xy)^2\\\\1^2 - 2(1)(6xy) + (6xy)^2\\\\1 - 12xy + 36x^2y^2$

$l)\\\\(7t - 1)^2\\\\(7t)^2 - 2(7t)(1) + 1^2\\\\49t^2 - 14t + 1$

Explicación paso a paso:

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