SOLUTION: (16a^2) * (x^2) * (y^2) - (25a^2) * (z^2) I am confused on this long equation. I can figure out if smaller. Thank you for your help.

Question 765180: (16a^2) * (x^2) * (y^2) - (25a^2) * (z^2)
I am confused on this long equation. I can figure out if smaller. Thank you for your help.
Answer by jim_thompson5910(35256) (Show Source): You can put this solution on YOUR website!

If you want to factor, then,

(16a^2) * (x^2) * (y^2) - (25a^2) * (z^2)

(4^2a^2) * (x^2) * (y^2) - (5^2a^2) * (z^2)

(4axy)^2 - (5az)^2

(4axy - 5az)(4axy + 5az) ... use the difference of squares rule

a(4xy - 5z)*a(4xy + 5z) ... factor out the common term 'a'

a^2(4xy - 5z)(4xy + 5z) ... rearrange terms

Final Answer: a^2(4xy - 5z)(4xy + 5z)

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