Question

`5(x+1)^(2) -4(x+1)^(3)`
I need to Factorise it

Answer 1

(x+1)^2 x (1-4x) I think..

Answer 2

• 
  `\sf\pink{(x+1)^(2) * (1-4x)}`

Explanation:

Given Expression :-

• 
  `\sf\orange{5(x+1)^(2) -4(x+1)^(3)}`

Steps to factorise :-

`\Rightarrow\:\:\:\sf\purple{5(x+1)^(2) -4(x+1)^(3)}`

• Factor out (x+1)² from the expression

`\Rightarrow\:\:\:\sf\green{(x+1)^(2) * \bigg( 5-4 (x+1) \bigg) }`

• Distribute -4 through the parentheses

`\Rightarrow\:\:\:\sf\purple{(x + 1)^(2) * (5-4x-4)}`

• Subtract the numbers

`\Rightarrow\:\:\:\bf\pink{(x+1)^(2) * (1-4x)}`