Question

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

Answer 1

It is known that,

(x + y + z)2= x2+ y2+ z2+ 2xy + 2yz + 2zx

4x2+9y2+16z2+12xy24yz16xz

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

=(2x+3y4z)2

=(2x+3y4z)(2x+3y4z)