Bom Dia!
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Utilizaremos duas fórmulas para resolver esse exercício de Produtos Notáveis.
[tex]\sf (a+b)^{2} =a^{2} +2 \cdot a \cdot b+b^{2}\\\sf(a-b)^{2} =a^{2} -2 \cdot a \cdot b+b^{2}[/tex]
Tendo esse raciocínio, teremos:
[tex]\sf A)(x+8)^{2} \\\sf x^{2} +2x \cdot 8+8^{2} \\\sf x^{2} +16x+8^{2} \\\boxed{\sf{x^{2} +16x+64}}\\\\\sf B) (2-3a)^{2} \\\sf 2^{2} -2 \cdot 2 \cdot 3a+3a^{2} \\\sf4-2 \cdot 2 \cdot 3a+3a^{2} \\\sf4-12a+3a^{2} \\\boxed{\sf{4-12a+9a^{2} }}\\\\\sf C)(3x+y)^{2} \\\sf (3x)^{2} +2 \cdot 3x \cdot y+y^{2} \\\sf3x^{2} +2 \cdot 3x \cdot y+y^{2}\\\boxed{\sf3x^{2} +6xy+y^{2} }\\\\\sf D)(m-1)^{2} \\\sf m^{2} -2 \cdot m \cdot 1+ 1^{2} \\\sf m^{2} -2m+1^{2} \\\boxed{\sf{m^{2} -2m+1}}\\[/tex]
[tex]\begin{gathered}\sf E)(4+h)^{2} \\\sf4^{2} +2 \cdot 4 \cdot h+h^{2} \\ \sf16+2 \cdot4 \cdot h+h^{2} \\\boxed{\sf16+8h+h^{2} } \\ \\ \sf F)(5x^{2} +1)^{2} \\ \sf (5x^{2} )^{2} +2 \cdot 5x^{2} \cdot 1+1^{2} \\ \sf25x^{4} +2 \cdot 5x^{2} \cdot 1+1^{2} \\\sf25x^{2} +10x^{2} +1^{2} \\ \boxed{\sf{25x^{2} +10x^{2} +1}}\end{gathered}[/tex]
- Confira mais tarefas sobre esse nos links abaixo:
https://brainly.com.br/tarefa/36020838
https://brainly.com.br/tarefa/46712825
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