Question

Resolva os produtos notáveis:

A) (x + 7)²=

B) (2 + x). (2 - x)=

C) (5 + a)²=

D) (x + 7)²=

E) (5 + y). (5 - y)

F) (x + 2). (x - 2)=

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Answer 1

Oie, tudo bom?

a)

$= (x + 7 ){}^{2} \\ = x {}^{2} + 2x \: . \: 7 + 7 {}^{2} \\ \boxed{ = x {}^{2} + 14x + 49}$

b)

$= (2 + x) \: . \: (2 - x) \\ = 2 {}^{2} - x {}^{2} \\ \boxed{ = 4 - x {}^{2} }$

c)

$= (5 + a) {}^{2} \\ = 5 {}^{2} + 2 \: . \: 5a + a {}^{2} \\ = 25 + 10a + a {}^{2} \\ \boxed{ = a {}^{2} + 10a + 25}$

d)

$= (x + 7) {}^{2} \\ = x {}^{2} + 2x \: . \: 7 + 7 {}^{2} \\ \boxed{ = x {}^{2} + 14x + 49}$

e)

$= (5 + y) \: . \: (5 - y) \\ = 5 {}^{2} - y {}^{2} \\ \boxed{ = 25 - y {}^{2} }$

f)

$= (x + 2) \: . \: (x - 2) \\ = x {}^{2} - 2{}^{2} \\ \boxed{ = x {}^{2} - 4 }$

Att. NLE Top Shotta