Factor: 9x^2 + 4y^2 + 16z^2 + 12xy - 16yz - 24xz
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9x²+4y²+16z²+12xy-16yz-24xz
⇒(3x)²+(2y)²+(4z)²+12xy-16yz-24xz
{Usingdentity→(a+b+c)²=a+b²+c²+
2ab+2bc+2ca}
⇒(3x+2y-4z)²=9x²+4y²+16z²+12xy-16yz-24xz
∴Ans= (3x+2y-4z) (3x+2y-4z)
⇒(3x)²+(2y)²+(4z)²+12xy-16yz-24xz
{Usingdentity→(a+b+c)²=a+b²+c²+
2ab+2bc+2ca}
⇒(3x+2y-4z)²=9x²+4y²+16z²+12xy-16yz-24xz
∴Ans= (3x+2y-4z) (3x+2y-4z)
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