25x^ +16y^ + 4z^ - 40xy + 16yz - 20xz
Factorize it?
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Given 25x2 + 16y2 + 4z2 - 40xy + 16yz - 20xz
= (−5x)2 + (4y)2 + (2z)2 + 2(−5x)(4y) + 2(4y)(2z) + 2(2z)(−5x)
It is in the form of [a2 + b2+ c2 + 2ab + 2bc + 2ca = (a + b + c)2]
= [(−5x) + 4y +2z]2
= (−5x)2 + (4y)2 + (2z)2 + 2(−5x)(4y) + 2(4y)(2z) + 2(2z)(−5x)
It is in the form of [a2 + b2+ c2 + 2ab + 2bc + 2ca = (a + b + c)2]
= [(−5x) + 4y +2z]2
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