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factor completely. 7y³ - 14y² - 5y + 10

Question

factor completely. 7y³ - 14y² - 5y + 10

Explanation:

Step1: Group terms into pairs

$(7y^3 - 14y^2) + (-5y + 10)$

Step2: Factor out GCF from each pair

$7y^2(y - 2) - 5(y - 2)$

Step3: Factor out common binomial

$(y - 2)(7y^2 - 5)$

Answer:

$(y - 2)(7y^2 - 5)$