Question

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

Answer 1

4x²+9y²+16z²+12xy-24yz-16xz

=>(2x)²+(3y)²+(-4z)²+2×2x×3y+2×3y×(-4z)+2×2x×(-4z)

=>(2x+3y-4z)²

=>(2x+3y-4z)(2x+3y-4z)

Answer 2

$\huge{ \bf{♕︎ sᴏℓᴜᴛɪᴏɴ ♕︎}}$

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

$\tt{→ (2x)^2+ (3y)^2+ (4z)^2 + 2 (2) (3) xy -2 (3) (4) yz -2 (2x) (4z) }$

$\tt{→ (2x + 3y - 4z) (2x + 3y - 4z) }$