annagc0419 annagc0419
  • 12-05-2020
  • Mathematics
contestada

[tex]-8x^2\sqrt{180} + 9x\sqrt{5x^2}[/tex]

Respuesta :

merue
merue merue
  • 12-05-2020

Answer:

[tex]-39x^{2} \sqrt{5}[/tex]

Step-by-step explanation:

Firstly, you have to know these:

[tex]a\sqrt{x} + b\sqrt{x} = (a+b)\sqrt{x} \\\sqrt{a.b^{2} } =b\sqrt{a} \\ c\sqrt{a.b^{2} } =(c.b)\sqrt{a} \\a\sqrt{x} - b\sqrt{x} = (a-b)\sqrt{x}[/tex]

About your question :

[tex]\sqrt{180} = \sqrt{6^{2}.5} = 6\sqrt{5}[/tex]

[tex]-8x^{2} . 6\sqrt{5} = -48x^{2}\sqrt{5}[/tex]

[tex]\sqrt{5x^{2}} = x\sqrt{5}[/tex]

[tex]9x\sqrt{5x^{2}} = 9x.x\sqrt{5} = 9x^{2} \sqrt{5}[/tex]

-48x²√5 + 9x²√5  = -39√5

Hope this helps ^-^

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