Factorize
(i) x^2+4y^2+4+4x-4xy-8y
(ii) x^2+4y^2+16z^2
(iii)9x^2+y^2+2^2-6xy+2yz-6zx
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Step-by-step explanation:
x² + 4y² + 4 + 4x - 4xy - 8y
(x)² + (2y)² - 2*x*2y + 4 + 4x - 8y
(x - 2y)² + 4(x - 2y) + 4
- x - 2y = t
t² + 4t + 4
(t + 2)²
(x - 2y + 2)²
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x² + 4y² + 16z²
x² + 4y² + 16z² + (4xy+16yz+8zx) - (4xy+16yz+8zx)
(x+2y+4z)² - (4xy+16yz+8zx)
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9x² + y² + 2² - 6xy + 2yz - 6zx
(-3x)² + (y)² + (2)² + 2*(-3x)*y + 2*y*z + 2*(-3x)*z
( y + z - 3x )²
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