Question

1°)Resolva os produtos notaveis
a)$(x+9)^{2}$
b)$(y-12)^{2}$
c)$(k^{2}+5m) ^{2}$
d)$(\frac{x}{3}-0,5m ^{9}) ^{2}$
e)$(y+3).(y-3)$
f)$(2k- a^{2} b^{3})(2k+a^{2} b^{3})$

Answer 1

A) (x+9)²=
x²+2x*9+9²
x²+18x+81

B)(y-12)²=
y²-2y*12+12²
y²-24y+144

C)(k²+5m)²=
(k²)²+2k²*5m+(5m)²
$k^{4}+10k^{2}m+25m^{2}$

D)$( \frac{x}{3}-0.5m^{9})^{2}$
$\frac{ x^{2} }{9} -2* \frac{x}{3}*0,5m^{9}+0,5^{2}*m^{18}$
$\frac{ x^{2} }{9} -2* \frac{x}{3}* \frac{5}{10}m^{9}+( \frac{5}{10})^{2}*m^{18}$
$\frac{x^{2} }{9}-2* \frac{x}{3}* \frac{1}{2}m^{9}+ (\frac{1}{2}^{2} ) *m^{18}$
$\frac{x^{2} }{9} - \frac{x}{3}*m^{9} + \frac{1}{4} m^{18}$$\frac{ x^{2} }{9} - \frac{ m^{9}x }{3} + \frac{1}{4}m^{18}$

E)(y+3)*(y-3)=
y²-3²
y²-9

F)(2k-a²b³)(2k+a²b³)
(2k)²-(a²b³)²
$4k^{2}-a^{4}b^{6}$