Question

ayuda
factorizar los suiguentes diferencias de cuadrados ​

Answer 1

Verified answer

Respuesta:

a) [tex]m^{2}-n^{2} =[/tex] (m-n) x (m+n)

b)  [tex]a^{2}[/tex]-4=

     [tex]a^{2}-2^{2}\\ (a-2) x (a+2)[/tex]

c)

[tex]1-49c^{2} =\\1^{2}-7^{2}c^{2}\\1^{2}-(7c)^{2}\\(1-7c) x (1+7c)[/tex]

d)

[tex]16-x^{2}=\\4^{2}-x^{2} \\(4-x) x (4+x)[/tex]

e)

[tex]36x^{2}-25=\\6^{2}x^{2} -5^{2}\\(6x)^{2}-5^{2}\\(6x-5)x(6x+5)[/tex]

f)

[tex]y^{2} x^{2}-100=\\x^{2} y^{2}-10^{2}\\(xy)^{2}-10^{2}\\(xy-10) x (xy+10)[/tex]

g)

[tex]m^{10}-81n^{2}=\\m^{2x5}-9^{2} n^{2}\\(m^{5)^{2}}-(9n)^{2}\\(m^{5}-9n) x (m^{5} + 9n)[/tex]

Explicación paso a paso: