factorise the following 1. 3a^2-24ab+48b^2
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Answered by
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
Answered by
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Answer:
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