Resposta:
a)
[tex]\sf{(X+5)²}[/tex]
[tex]\sf{x {}^{2} + 2x.5 + 5 {}^{2} }[/tex]
[tex]\sf{ {x}^{2} + 10x + {5}^{2} }[/tex]
[tex]\rightarrow\boxed{\boxed{\sf{ {x}^{2} + 10x + 25}}}\checkmark[/tex]
b)
[tex]\sf{(a+3)³}[/tex]
[tex]\sf{ {a}^{3} + 3 {a}^{2}x3 + 3ax {3}^{2} + 3}[/tex]
[tex]\sf{ {a {}^{3} }^{} + 9 {a}^{2} + 3ax {3}^{2} + {3}^{3} }[/tex]
[tex]\sf{ {a}^{3} + 9 {a}^{2} + 3ax9 + {3}^{3} }[/tex]
[tex]\sf{ {a}^{3} + 9 {a}^{2} + 3 {a}^{} x9 + 27}[/tex]
[tex]\rightarrow\boxed{\boxed{\sf{ {a}^{3} + 9 {a}^{2} + 27a + 27 }}}\checkmark[/tex]
c)
[tex]\sf{(4+m)²}[/tex]
[tex]\sf{16 + 8m + {m}^{2} }[/tex]
[tex]\rightarrow\boxed{\boxed{\sf{ {m}^{2} + 8m + 16 }}}\checkmark[/tex]
d)
[tex]\sf{(X + a)²}[/tex]
[tex]\sf{ {x}^{2} + 2xa + {a}^{2} }[/tex]
[tex]\rightarrow\boxed{\boxed{\sf{ {x}^{2} + 2ax + {a}^{2} }}}\checkmark[/tex]
Explicação passo-a-passo:
(espero ter colaborado)
