# Factorization 6

### From Homeworkwiki

**1. Factor completely. If unfactorable, indicate that the polynomial is prime.**

**36 – (x + 3y) ^{2}**

**Solution:** 36 – (x + 3y)^{2}

= (6)^{2} - (x + 3y)^{2}

= (6 – x – 3y) (6 + x + 3y)

**2. Factor completely. If unfactorable, indicate that the polynomial is prime.**

**25k ^{2} – 121 m^{2}**

**Solution:** 25k^{2} -121m^{2}

= (95k)^{2} – (11m)^{2}

= (5k +11m)(5k-11m)

**3. Factor completely. If unfactorable, indicate that the polynomial is prime.**

**z ^{2} – 100**

**Solution:** z^{2} – 100

= z^{2} – 10^{2}

=(z+10) (z-10)