Question

efetue o quadrado da soma e da diferença: a) (x+4y)²
b) (3a+1/2)²
c) (6-n)²
d) (x-y)²

com cálculo​

Answer 1

Explicação passo-a-passo:

a) (x +4y) . (x +4y)=

x² +4xy +4xy + 16y²=

x² + 8xy + 16y²

b) (3a + 1/2).(3a + 1/2)=

9a² +3/2a + 3/2a + 1/4=

9a² + 6/2a + 1/4=

9a² + 3a + 1/4

c) (6 - n) . (6 - n)

36 - 6n - 6n + n²=

36 - 12n + n²

d) (x - y) . (x - y)=

x² - xy - xy + y²=

x² - 2xy + y²

Answer 2

$\pink{a)(x + 4y) {}^{2} } \\ \pink{(x + 4) {}^{2}} \\ \pink{x {}^{2} + 2x \times 4y + (4y) {}^{2} } \\ \pink{2x \times 4y} \\ \pink{8xy} \\ \pink{x {}^{2} + 2x \times 4y(4y) {}^{2}} \\ \pink{x {}^{2} + 8xy + (4y) {}^{2}} \\ \pink{x {}^{2} + 2x \times 4y) + (4y) {}^{2}} \\ \pink{4y {}^{2}} \\ \pink{4 {}^{2}y {}^{2}} \\ \pink{16y {}^{2}} \\ \pink{x {}^{2} + 2x \times 4y + (4y) {}^{2}} \\ \pink{x {}^{2} + 8xy + 16y {}^{2}} \\ \blue{resposta} \\ \red{x {}^{2} + 8xy + 16y {}^{2}}$

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