x² - 6√2x +12 factorize using mid term spilt
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Solution:
x² - 6√2x + 12
It is not possible to split the middle term ,
= x² - 2*x*3√2 + (3√2)² - 6
= (x-3√2)² - 6
= (x-3√2)² - (√6)²
= (x-3√2+√6)(x-3√2-√6)
Therefore,
x²-6√2x+12 = (x-3√2+√6)(x-3√2-√6)
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