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Expand and simplify (2V5 + 1)(3V5 - 1)

Expand And Simplify 2V5 13V5 1 class=

Sagot :

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Answer:

[tex]29+\sqrt{5}[/tex]

Step-by-step explanation:

Let [tex]\sqrt{5} = a[/tex] for simplicity. now our equation is

(2a+1)(3a-1)

now expand

2a*3a-2a+3a-1 = 6a^2+a-1

remember that [tex]\sqrt{5} = a[/tex]

thus we get[tex]6\sqrt{5}^2+\sqrt{5}-1 = 6(5)-1+\sqrt{5}=30-1+\sqrt{5}=29+\sqrt{5}[/tex]

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