Math, asked by JAGUAR739, 11 months ago

1 - 8a³ factorize it.

Answers

Answered by Anonymous
3

Answer:

\large\boxed{\sf{(1 - 2a)(1 + 2a + 4 {a}^{2} )}}

Step-by-step explanation:

To factorise,

1 - 8 {a}^{3}

We can further simplify this as,

  = {1}^{3}  - 8 {a}^{3}

Or, we can simplify,

 =  {(1)}^{3}  -  {(2a)}^{3}

Now, we know that,

  •  {x}^{3}  -  {y}^{3}  = (x - y)( {x}^{2}  + xy +  {y}^{2} )

Therefore, we will get,

 = (1 - 2a)( {(1)}^{2}  + (1)(2a) +  {(2a)}^{2} )

Further simplify, we will get,

 = (1 - 2a)(1 + 2a + 4 {a}^{2} )

Hence, the factors are :-

(1 - 2a)(1 + 2a + 4 {a}^{2} )

Answered by pr30vr
1

Answer:

hey mate here is your answer.

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