Respuesta :

Answer:

(x + y)(x + 8)

Step-by-step explanation:

  • x² + xy + 8x + 8y
  • x² + 8x + xy + 8y [∴Combining like terms]
  • x(x + 8) + y(x + 8)
  • (x + y)(x + 8)

Lenvy

Answer:

(x + y) (x + 8)

Step-by-step explanation:

[tex]x^2+xy+8x+8y[/tex]

[tex]=\left(x^2+xy\right)+\left(8x+8y\right)[/tex]

[tex]\mathrm{factor\;out\;x\;from\;x^2+xy}:x(x+y)[/tex]

[tex]\mathrm{factor\;out \;8\;from\;8x+8y}:8(x+y)[/tex]

[tex]=x\left(x+y\right)+8\left(x+y\right)[/tex]

[tex]\mathrm{Factor\:out\:common\:term\:}x+y[/tex]

[tex]=\left(x+y\right)\left(x+8\right)[/tex]

Answer = [tex]\left(x+y\right)\left(x+8\right)[/tex]

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