16x^+9y^+4z^-24xy+12yz-16zx factorise it
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Answered by
43
Hey mate!
Did you mean :
16x² + 9y² + 4z² - 24xy + 12yz - 16zx
=> (-4x)² + (3y)² + (2z)² + 2(-4x)(3y) + 2(3y)(2z) + 2(2z)(4x)
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Using identity :
(-a + b + c)² = a² + b² + c² - 2ab + 2bc - 2ca
================================
=> (-4x + 3y + 2z)²
Thanks for the question!
Did you mean :
16x² + 9y² + 4z² - 24xy + 12yz - 16zx
=> (-4x)² + (3y)² + (2z)² + 2(-4x)(3y) + 2(3y)(2z) + 2(2z)(4x)
================================
Using identity :
(-a + b + c)² = a² + b² + c² - 2ab + 2bc - 2ca
================================
=> (-4x + 3y + 2z)²
Thanks for the question!
vishal9439:
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