Simplify radical expression √10z^5 - z^2 √10z

Kalim Sayyad asked Nov 9, 2023

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19 votes

Simplify radical expression

√10z^5 - z^2 √10z

Kalim Sayyad asked Nov 9, 2023

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21 votes

Answer:

√10z^3(z - 1)(z + 1).

Explanation:

The GCF is √10z* z^2

= √10z^3

So factoring we get

√10z^3(z^2 - 1) The expression in brackets is difference of 2 squares so:

= √10z^3(z - 1)(z + 1)

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