Factor 18k^2-50

Math
18k2-50
Factor 2 out of 18k2-50.
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Factor 2 out of 18k2.
2(9k2)-50
Factor 2 out of -50.
2(9k2)+2(-25)
Factor 2 out of 2(9k2)+2(-25).
2(9k2-25)
2(9k2-25)
Rewrite 9k2 as (3k)2.
2((3k)2-25)
Rewrite 25 as 52.
2((3k)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=3k and b=5.
2((3k+5)(3k-5))
Remove unnecessary parentheses.
2(3k+5)(3k-5)
2(3k+5)(3k-5)
Factor 18k^2-50

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