Question

. Factorise:
(1) 4x² +9y² + 16z² + 12xy – 24yz – 16xz​

Answer 1

4x2+9y2+16z2+12xy−24yz−16xz

=(2x)2+(3y)2+(−4z)2+2(2x)(3y)+2(3y)(−4z)+2(−4z)(2x)

=(2x+3y−4z)2

=(2x+3y−4z)(2x+3y−4z)

Answer 2

(a+b-c)²=a²+b²+c²+2ab-2bc-2ac

so,(2x)²+(3y)²+(4z)²+2.2x.3y-2.3y.4z-2.2x.4z=(2x+3y-4z)²