# Chapter 6 - Section 6.1 - The Greatest Common Factor - Practice: 4

Chapter 6 - Section 6.1 - Practice: 4 (Answer) (a) 10y + 25 = 5(2y + 5) (b) $x^4 – x^9$ = $x^4(1 – x^5)$

#### Work Step by Step

Chapter 6 - Section 6.1 - Practice: 4 (Solution) (a) Factorize : 10y + 25 The GCF of terms 10y and 25 is 5, thus, 10y + 25 = 5(2y + 5) (Apply the distributive property) (b) Factorize : $x^4 – x^9$ The GCF of terms $x^4$ and $x^9$ is $x^4$, thus $x^4 – x^9$ = $x^4(1 – x^5)$ (Apply the distributive property and product rule)

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