Question

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

Answer 1

$9{x}^{2} + 4y {}^{2} + 16z {}^{2} + 12xy - 16yz - 24xz \\ (3x {})^{2} + (2y {})^{2} + ( - 4z) {}^{2} + 2(3x)(2y) + 2(2y)( - 4z) + 2( - 4z)(3x) \\ (3x + 2y - 4z) {}^{2} \\ using \: identity \\ (a + b + c) {}^{2}$