Question

factorize (x+5)(x2+9)+6x2+30x

Answer 1

Answer:

• (x+5)(x2+9+6x)

Step-by-step explanation:

(x+5)(x2+9)+6x(x+5)

=(x+5)(x2+9+6x)

Answer 2

Answer:

Step-by-step explanation:

⇒ (x + 5)(x² + 9) + 6x² + 30x

⇒ (x + 5)(x² + 9) + 6x(x + 5)

⇒ (x + 5)[(x² + 9) + 6x]

⇒ (x + 5)[x² + 9 + 6x]

⇒ (x + 5)[x² + 6x + 9]

⇒ (x + 5)[x² + 3x + 3x + 9]

⇒ (x + 5)[x(x + 3) + 3(x + 3)]

⇒ (x + 5)[(x + 3)(x + 3)]

⇒ (x + 5)(x + 3)(x + 3)

⇒ (x + 5)(x + 3)²

Hence, the answer is  (x + 5)(x + 3)²