Question

factorise the following 1. 3a^2-24ab+48b^2​

Answer 1

Answer:

3a² - 24ab + 48b² = 3 ( a - 4b )²

Step-by-step explanation:

We will start by rewriting the given quadratic polynomial,

3a² - 24ab + 48b²

Taking out the common "3",

=> 3 ( a² - 8ab + 16b² )

Splitting the middle term i.e. " - 8ab " appropriately,

=> 3 ( a² - 4ab - 4ab + 16b² )

=> 3 [ a ( a - 4b ) - 4b ( a + 4b ) ]

=> 3 ( a - 4b ) ( a - 4b )

We can also write the above form as,

=> 3 ( a - 4b )²

Answer 2

Answer:

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Step-by-step explanation:

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