Question

factorise 16⁵ - 144 x³​

Answer 1

Required Answer:-

Given to factorise:

• 16x⁵ - 144x³

Solution:

This polynomial can be factorised by using the identity a² - b² = (a + b)(a - b). Let's factorise it.

★ We have,

16x⁵ - 144x³

= 16x³(x² - 9). [Taking 16x³ as common]

= 16x³[(x)² - (3)²]

Now, you can see that x² - 9 can be written in a² - b² form. Factorise it.

= 16x³(x + 3)(x - 3)

★ Hence, the factorised form of the given polynomial is 16x³(x + 3)(x - 3)

Answer:

• The factorised form of the given polynomial is 16x³(x + 3)(x - 3).

Answer 2

Answer:

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