Question

Factorize: 16x² +4y² +9z²-16xy-12yz+24zx

Answer 1

Hello!❤️

Answer :

$16 {x}^{2} + 4 {y}^{2} + 9 {z}^{2} - 16xy - 12yz + 24zx$

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

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

$(4x - 2y + 3z)(4x - 2y + 3z)$

____❤️❤️____

#Pratiba❤️

Answer 2

FULL explanation

$16x {}^{2} + 4y {}^{2} + 9z {}^{2} - 16xy - 12yz + 24zx \\ (4x) {}^{2} + ( - 2y) {}^{2} + (3z) {}^{2} + 2(4x)( - 2y) + 2( - 2y)(3z) + 2(3z)(4x) \\ (4x - 2y + 3z) { }^{2} \\ (4x - 2y + 3z)(4x - 2y + 3z)$