Question

1)Desenvolva os produtos notáveis abaixo:

a)(x + 6)²

b)(x – 9)²

c)(5x – 2)²

d)(6x + 1)²

e)(8 + x)²

f)(3x – 7)²

g)(x – 10)²​

Answer 1

Resposta:

$a)(x + 6)^{2} = {x}^{2} + 2.x.6 + {2}^{2}$

${x}^{2} + 12x + 4$

$b)(x - 9)^{2} = {x}^{2} - 2.9.x + {9}^{2}$

${x}^{2} - 18x + 81$

$c)(5x - 2)^{2} = {(5x)}^{2} - 2.5x.2 + {2}^{2}$

$25x^{2} + 20x + 4$

$d)(6x + 1)^{2} = {(6x)}^{2} + 2.6x.1 + {1}^{2}$

$36 {x}^{2} + 12x + 1$

$e)(8 + x)^{2} = {8}^{2} + 2.8.x + {x}^{2}$

$16 + 16x + {x}^{2}$

$f)(3x - 7)^{2} = (3x)^{2} - 2.3x.7 + {7}^{2}$

$9{x}^{2} - 42x + 49$

$g)(x - 10)^{2} = {x}^{2} - 2.x.10 + {10}^{2}$

${x}^{2} - 20x + 100$