# factorise: 125x³+225x²y+135xy²+27y³

## Answers

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2

**Answer:**

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Answered by

12

**Answer:**

**⇒ (5x + 3y)³ **

**Step-by-step explanation:**

**Given**** :**

**To factorize :**

**125x³ + 225x²y + 135xy² + 27y³**

**Solution**** :**

**We know that,**

**⇒ (a + b)³ = a³ + 3a²b + 3ab² + b³**

**So,**

**⇒ 125x³ + 225x²y + 135xy² + 27y³**

**⇒ 5³ × x³ + 3 × 5² × x² × 3 × y + 3 × 5 × x × 3² × y² + 3³ × y³**

**⇒ (5x)³ + 3 × (5x)² × (3y) + 3 × (5x) × (3y)² + (3y)³**

**⇒ (5x)³ + 3(5x)²(3y) + 3(5x)(3y)² + (3y)³**

**Here a = 5x , b = 3y**

**⇒ (5x + 3y)³ **

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