Resposta:
Explicação passo a passo:
1)
a) [tex]a^{2} -25 = ( a + 5).(a-5)[/tex]
b) [tex]x^{2} -1=(x+1).(x-1)[/tex]
c) [tex]a^{2} -4=(a+2).(a-2)[/tex]
d) [tex]9-x^{2} =(3+x).(3-x)[/tex]
e) [tex]x^{2} -a^{2} =(x+a).(x-a)[/tex]
f) [tex]1-y^{2} =(1+y).(1-y)[/tex]
g) [tex]m^{2} -n^{2} =(m+n).(m-n)[/tex]
h) [tex]a^{2} -64=(a+8).(a-8)[/tex]
2)
a) [tex]4x^{2} -25=(2x+5).(2x-5)[/tex]
b) [tex]1-49a^{2} =(1+7a).(1-7a)[/tex]
c) [tex]25-9a^{2} =(5+3a).(5-3a)[/tex]
d) [tex]9x^{2} -1=(3x+1).(3x-1)[/tex]
e) [tex]4a^{2}-36=(2a-6).(2a+6)[/tex]
f) [tex]m^{2} -16n^{2} =(m+4n).(m-4n)[/tex]
g) [tex]36a^{4} -4= (6a^{2} -2).(6a^{2} -2)[/tex]
h) [tex]81-x^{4} = ( 9-x^{2} ).(9+x^{2} )[/tex]
i) [tex]4x^{2} -y^{2} =(2x+y).(2x-y)[/tex]
j) [tex]16x^{4} -9 = ( 4x^{2} -3).(4x^{2} +3)[/tex]
k) [tex]36x^{2} -4y^{2} =(6x+2y).(6x-2y)[/tex]
l) [tex]16a^{2} -9x^{2} y^{2} =(4a-3xy).(4a-3xy)[/tex]
m) [tex]25x^{4} -y^{6} =(5x^{2} +y^{3} ).(5x^{2} -y^{3} )[/tex]
n) [tex]x^{4} -y^{4} =(x^{2} +y^{2} ).(x^{2} -y^{2})[/tex]
