Question

a) (3 + x)²

b) (x + 5)²

c) (x + y)²

d) (x + 2)²

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Answer 1

Resposta:

X² + 6x + 9

X² + 10x + 25

X² + 2xy + y²

X² + 4x + 4

Explicação passo-a-passo:

Photomath

Answer 2

$\small\boxed{\begin{array}{l}\underline{\rm Quadrado~da~soma~de~dois~termos}\\\sf (a+b)^2=a^2+2ab+b^2\\\boldsymbol{"O~quadrado~da~soma~de~dois~termos}\\\boldsymbol{\acute e~igual~ao~quadrado~do~primeiro}\\\boldsymbol{menos~duas~vezes~o~primeiro~vezes~o~segundo}\\\boldsymbol{mais~o~quadrado~do~segundo"}\end{array}}$

$\Large\boxed{\begin{array}{l}\tt a)~\sf(3+x)^2=3^2+2\cdot3\cdot x+x^2\\\sf (3+x)^2=9+6x+x^2\\\tt b)~\sf (x+5)^2=x^2+2\cdot x \cdot 5+5^2\\\sf (x+5)^2=x^2+10x+25\\\tt c)~\sf (x+y)^2=x^2+2xy+y^2\\\tt d)~\sf (x+2)^2=x^2+2\cdot x\cdot 2+2^2\\\sf (x+2)^2=x^2+4x+4\end{array}}$