Question

calcule os produtos notáveis ​

Answer 1

Oie, Td Bom?!

h)

$= (2x - b) {}^{2}$

$= (2x) {}^{2} - 2 \: . \: 2xb + b {}^{2}$

$= 4x {}^{2} - 4bx + b {}^{2}$

i)

$= (5x {}^{2} - 1) {}^{2}$

$= (5x {}^{2} ) {}^{2} - 2 \: . \: 5x {}^{2} \: . \: 1 + 1 {}^{2}$

$= 25x {}^{4} - 10x {}^{2} + 1$

j)

$= (x {}^{2} - 1) {}^{2}$

$= (x {}^{2} ) {}^{2} - 2x {}^{2} \: . \: 1 + 1 {}^{2}$

$= x {}^{4} - 2x {}^{2} + 1$

l)

$= (9x {}^{2} - 1) {}^{2}$

$= (9x {}^{2} ) {}^{2} - 2 \: . \: 9x {}^{2} \: . \: 1 + 1 {}^{2}$

$= 81x {}^{4} - 18x {}^{2} + 1$

m)

$= (x {}^{3} - 2) {}^{2}$

$= (x {}^{3} ) {}^{2} - 2x {}^{3} \: . \: 2 + 2 {}^{2}$

$= x {}^{6} - 4x {}^{3} + 4$

n)

$= (3x {}^{2} - y {}^{2} ) \: . \: (3x {}^{2} + y {}^{2} )$

$= (3x {}^{2} ) {}^{2} - (y {}^{2} ) {}^{2}$

$= 9x {}^{4} - y {}^{4}$

o)

$= (x + \frac{1}{2} ) \: . \: (x - \frac{1}{2} )$

$= x {}^{2} - ( \frac{1}{2} ) {}^{2}$

$= x {}^{2} - \frac{1}{4}$

p)

$= (x - \frac{2}{3} ) \: . \: (x + \frac{2}{3} )$

$= x {}^{2} - ( \frac{2}{3} ) {}^{2}$

$= x {}^{2} - \frac{4}{9}$

q)

$= ( \frac{x}{4} + \frac{2}{3} ) \: . \: ( \frac{x}{4} - \frac{2}{3} )$

$= ( \frac{x}{4} ) {}^{2} - ( \frac{2}{3} ) {}^{2}$

$= \frac{x {}^{2} }{16} - \frac{4}{9}$

r)

$= (x + 3) \: . \: (x - 3)$

$= x {}^{2} - 3 {}^{2}$

$= x {}^{2} - 9$

s)

$= (2x +5 ) \: . \: (2x - 5)$

$= (2x) {}^{2} - 5 {}^{2}$

$= 4x {}^{2} - 25$

t)

$= (3x - 2) \: . \: (3x + 2)$

$= (3x) {}^{2} - 2 {}^{2}$

$= 9x {}^{2} - 4$

Att. Makaveli1996