Factor 8z^4-50z^2

Math
8z4-50z2
Factor 2z2 out of 8z4-50z2.
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Factor 2z2 out of 8z4.
2z2(4z2)-50z2
Factor 2z2 out of -50z2.
2z2(4z2)+2z2(-25)
Factor 2z2 out of 2z2(4z2)+2z2(-25).
2z2(4z2-25)
2z2(4z2-25)
Rewrite 4z2 as (2z)2.
2z2((2z)2-25)
Rewrite 25 as 52.
2z2((2z)2-52)
Factor.
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Since both terms are perfect squares, factor using the difference of squares formula, a2-b2=(a+b)(a-b) where a=2z and b=5.
2z2((2z+5)(2z-5))
Remove unnecessary parentheses.
2z2(2z+5)(2z-5)
2z2(2z+5)(2z-5)
Factor 8z^4-50z^2

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