Factor 50c^4-55c^2y+14y^2

Math
50c4-55c2y+14y2
For a polynomial of the form ax2+bx+c, rewrite the middle term as a sum of two terms whose product is a⋅c=50⋅14=700 and whose sum is b=-55.
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Reorder terms.
50c4+14y2-55c2y
Reorder 14y2 and -55c2y.
50c4-55c2y+14y2
Factor -55 out of -55c2y.
50c4-55(c2y)+14y2
Rewrite -55 as -20 plus -35
50c4+(-20-35)(c2y)+14y2
Apply the distributive property.
50c4-20(c2y)-35(c2y)+14y2
Remove unnecessary parentheses.
50c4-20c2y-35(c2y)+14y2
Remove unnecessary parentheses.
50c4-20c2y-35c2y+14y2
50c4-20c2y-35c2y+14y2
Factor out the greatest common factor from each group.
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Group the first two terms and the last two terms.
(50c4-20c2y)-35c2y+14y2
Factor out the greatest common factor (GCF) from each group.
10c2(5c2-2y)-7y(5c2-2y)
10c2(5c2-2y)-7y(5c2-2y)
Factor the polynomial by factoring out the greatest common factor, 5c2-2y.
(5c2-2y)(10c2-7y)
Factor 50c^4-55c^2y+14y^2

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