Lição de casa da aula: Fatorando Completando o Quadrado Mathematics

Nesta atividade, nós vamos praticar a fatorar uma expressão completando o quadrado.

Q1:

Fatore completamente 625π‘₯+64𝑦οŠͺοŠͺ.

  • Aο€Ή25π‘₯+8π‘¦ο…οŠ¨οŠ¨οŠ¨
  • Bο€Ή25π‘₯+8π‘¦ο…βˆ’20π‘₯π‘¦οŠ¨οŠ¨οŠ¨οŠͺοŠͺ
  • Cο€Ή25π‘₯+8𝑦25π‘₯βˆ’8π‘¦ο…οŠ¨οŠ¨οŠ¨οŠ¨
  • Dο€Ή25π‘₯βˆ’200π‘₯𝑦+8𝑦25π‘₯+200π‘₯𝑦+8π‘¦ο…οŠ¨οŠ¨οŠ¨οŠ¨
  • Eο€Ή25π‘₯βˆ’20π‘₯𝑦+8𝑦25π‘₯+20π‘₯𝑦+8π‘¦ο…οŠ¨οŠ¨οŠ¨οŠ¨

Q2:

Fatore totalmente 𝑧+2500π‘₯οŠͺοŠͺ.

  • A𝑧+50π‘₯ο…ο€Ήπ‘§βˆ’50π‘₯ο…οŠ¨οŠ¨οŠ¨οŠ¨
  • Bο€Ήπ‘§βˆ’10𝑧π‘₯+50π‘₯𝑧+10𝑧π‘₯+50π‘₯ο…οŠ¨οŠ¨οŠ¨οŠ¨
  • C𝑧+50π‘₯ο…οŠ¨οŠ¨οŠ¨
  • Dο€Ήπ‘§βˆ’10𝑧π‘₯+50π‘₯𝑧+10𝑧π‘₯+50π‘₯ο…οŠ¨οŠ¨οŠ¨οŠ¨οŠ¨οŠ¨οŠ¨οŠ¨
  • Eο€Ήπ‘§βˆ’2500𝑧π‘₯+50π‘₯𝑧+2500𝑧π‘₯+50π‘₯ο…οŠ¨οŠ¨οŠ¨οŠ¨

Q3:

Fatorize 8𝑦𝑛+162𝑧𝑛οŠͺοŠͺ.

  • A2𝑛2π‘¦βˆ’18𝑦𝑧+9𝑧2𝑦+18𝑦𝑧+9π‘§ο…οŠ¨οŠ¨οŠ¨οŠ¨οŠ¨
  • B2𝑛2π‘¦βˆ’6𝑦𝑧+9𝑧2𝑦+6𝑦𝑧+9π‘§ο…οŠ¨οŠ¨οŠ¨οŠ¨οŠ¨
  • C2𝑛2𝑦+9𝑧2π‘¦βˆ’9π‘§ο…οŠ¨οŠ¨οŠ¨οŠ¨οŠ¨
  • D2𝑛2𝑦+9π‘§ο…οŠ¨οŠ¨οŠ¨οŠ¨
  • E2𝑛2𝑦+9π‘§ο…βˆ’6π‘¦π‘§οŠ¨οŠ¨οŠ¨οŠ¨οŠͺοŠͺ

Q4:

Fatorize 4π‘₯+9+8π‘₯οŠͺ.

  • Aο€Ή2π‘₯βˆ’2π‘₯βˆ’32π‘₯+2π‘₯βˆ’3ο…οŠ¨οŠ¨
  • Bο€Ή2π‘₯βˆ’4π‘₯βˆ’3ο…οŠ¨οŠ¨
  • Cο€Ή2π‘₯βˆ’4π‘₯+32π‘₯+4π‘₯+3ο…οŠ¨οŠ¨
  • Dο€Ή2π‘₯βˆ’2π‘₯βˆ’32π‘₯+2π‘₯βˆ’3ο…οŠ¨οŠ¨οŠ¨οŠ¨
  • Eο€Ή2π‘₯βˆ’2π‘₯+32π‘₯+2π‘₯+3ο…οŠ¨οŠ¨

Q5:

Fatorize 9π‘₯βˆ’21π‘₯𝑦+4𝑦οŠͺοŠͺ.

  • Aο€Ή3π‘₯βˆ’3π‘₯π‘¦βˆ’2𝑦3π‘₯+3π‘₯π‘¦βˆ’2π‘¦ο…οŠ¨οŠ¨οŠ¨οŠ¨
  • Bο€Ή3π‘₯βˆ’6π‘₯π‘¦βˆ’2𝑦3π‘₯+6π‘₯π‘¦βˆ’2π‘¦ο…οŠ¨οŠ¨οŠ¨οŠ¨
  • Cο€Ή3π‘₯βˆ’3π‘₯𝑦+2𝑦3π‘₯+3π‘₯𝑦+2π‘¦ο…οŠ¨οŠ¨οŠ¨οŠ¨
  • Dο€Ή3π‘₯βˆ’3π‘₯π‘¦βˆ’2𝑦3π‘₯+3π‘₯π‘¦βˆ’2π‘¦ο…οŠ¨οŠ¨οŠ¨οŠ¨οŠ¨οŠ¨οŠ¨οŠ¨
  • Eο€Ή3π‘₯βˆ’6π‘₯𝑦+2𝑦3π‘₯+6π‘₯𝑦+2π‘¦ο…οŠ¨οŠ¨οŠ¨οŠ¨

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