Question

Simplifique as expressões a seguir.
a) (2x + 1)² + (x - 5)²
b) (x - 1)² – (x + 1)²
c) x(x - 3)² - 4(x +1/2)²​

Answer 1

Explicação passo-a-passo:

a )

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

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

$\red{\boxed{\boxed{5 {x}^{2} - 6x + 26}}}$

b )

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

$(x - 1 - (x + 1)) (x - 1 + x + 1)$

$(x - 1 - x - 1)2x$

$\red{\boxed{\boxed{ - 2 \times 2x = - 4x}}}$

c )

$x(x - 3) {}^{2} - 4 (\dfrac{x + 1}{2} ) {}^{2}$

$x( {x}^{2} - 6x + 9) - 4 \dfrac{(x + 1) {}^{2} }{4}$

${x}^{3} - 6 {x}^{2} + 9x - (x + 1) {}^{2}$

${x}^{3} - 6 {x}^{2} + 9x - ( {x}^{2} + 2x + 1)$

${x}^{3} - 6 {x}^{2} + 9x - {x}^{2} - 2x - 1$

$\red{\boxed{\boxed{ {x}^{3} - 7 {x}^{2} + 7x - 1}}}$

Espero ter ajudado !!!