Question

4x2 + 9y2 + 12z2 + 12xy – 24yz – 16xz

Answer 1

(2x)^2+(3y)^2+(-4z)^2+2*2x*3y+2*3y*(-4z)+2*2x*(-4z)

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

Answer 2

$4x2+9y2+16z2+12xy−24yz−16xz</p><p>=2x+3y+4z+2×2x×3y-2×3y×4z-2×2x×4z</p><p>=</p><p>{(2x + 3y - 4z)}^{2}(2x+3y−4z)2</p><p>[by \: using \: identity \: a {}^{2} + {b}^{2} + {c}^{2} + 2ab + 2bc + 2ac = {(a + b + c)}^{2}][byusingidentitya2+b2+c2+2ab+2bc+2ac=(a+b+c)2]</p><p>= (2x+3y-4z)(2x+3y-4z)$