50c4-55c2y+14y2

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

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