Factorize using common factor and grouping
Correct answer with explanation please ===
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x²y+4xy²+xyz²-4x²y+16xy2+4xyz
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Answer:
Factorise -
xy(x+y+z)² - 4xy(x+y + 4z)
Solution -
xy(x+y+z)² - 4xy(x + y + 4z)
(x+y + 4z) (xy(x + y + 4z) - 4)
(x + y + 4z) (x²y – xy² + 4xyz — 4)....(a)
Additional information -
(a + b)² = a² + 2ab + b²
(a - b)² = a² - 2ab + b²
a²b² = (a - b)(a + b)
(a + b + c)² = a² + b² + c² + 2ab +2bc + 2ac
BrainLock.
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