Question

Factorise 16x²+4y²+9z²-16xy-12yz 24xz​

Answer 1

$\star\:\:\bf\large\underline\blue{Question:-}$

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

$\star\:\:\bf\large\underline\blue{Solution:-}$

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

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

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

$\star\:\:\bf\large\underline\blue{Answer:-}$

• ${(4x - 2y + 3z)}^{2}$