Question

QUESTÃO 04 - Calcule utilizando as regras de produtos notáveis:
a) (a +10)²
b) (2x + 2)²
c) (y - 7)²
d) (3x - 3)²
e) (y + 8) (y - 8)
f) (2x + 2) (2x - 2)​

Answer 1

a)

$= (a + 10) {}^{2}$

$= a {}^{2} + 2a \: . \: 10 + 10 {}^{2}$

$\boxed{ = a {}^{2} + 20a + 100}$

b)

$= (2x + 2) {}^{2}$

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

$\boxed{ = 4x {}^{2} + 8x + 4}$

c)

$= (y - 7) {}^{2}$

$= y {}^{2} - 2y \: . \: 7 + 7 {}^{2}$

$\boxed{ = y {}^{2} - 14y + 49 }$

d)

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

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

$\boxed{ = 9x {}^{2} - 18x + 9}$

e)

$= (y + 8) \: . \: (y - 8)$

$= y {}^{2} - 8 {}^{2}$

$\boxed{ = y {}^{2} - 84 }$

f)

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

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

$\boxed{ = 4x {}^{2} - 4}$

Att. NLE Top Shotta