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Factor: y^2-7y-30
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y^2-7y-30 y^2-10y+3y-30 (y^2-10y)+(3y-30) y(y-10)+(3y-30) y(y-10)+3(y-10) (y+3)(y-10) So y^2-7y-30 completely factors to (y+3)(y-10)
Note: I broke -7y into -10y+3y because -10 and 3 add to -7 and multiply to -30
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