Question

Factorise: 4x^2 + 9y^2 + 16z^2 + 12xy - 24 yz - 16xz

Answer 1

Q}. 4x² + 9y²+ 16z² + 12xy - 24 yz - 16xz

$= (2x) {}^{2} + (3y) {}^{2} + ( - 4z) {}^{2} + 2(2x)(3y) \\ \: \: \: + 2(3y)( - 4z) + 2( - 4z)(2x) \\ \\ = (2x + 3y - 4z) {}^{2} \\ \\ = (2x + 3y - 4z)(2x + 3y - 4z)$


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