Question

$5(x+1)^{2} -4(x+1)^{3}$
I need to Factorise it​

Answer 1

Answer:

Answer:

$\sf\pink{(x+1)^{2} \times (1-4x)}$

Step-by-step 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

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

• Distribute -4 through the parentheses

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

• Subtract the numbers

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

Answer 2

Answer:

Answer: (x +1) (× (1 - 4x)

Step-by-step explanation:

Given Expression :- 5(x + 1)2 – 4(x+ 1)³

Steps of factories:-

+5(x +1)² – 4(x+ 1)³

• Factor out (x+1)² from the expression (x +1)² × (5 – 4(x+1)

• Distribute -4 through the parentheses (x +1)² × (5 – 4x – 4)

• Subtract the numbers (x +1)² × (1 – 4x)