Question

. Factorise the following:
(1) 9x + 4y2 + 1622 + 12xy - 16yz – 24xz
(ii) 25x² + 16y2 + 4z2 – 40xy + 16yz – 20xz
(ii) 16r? + 4y2 + 9z2 – 16xy - 12yz + 24 xz
​

Answer 1

Step-by-step explanation:

Formula:

(a+b+c)

2

=a

2

+b

2

+c

2

+2ab+2bc+2ca

9x

2

+4y

2

+16z

2

+12xy−16yz−24xz

=(3x)

2

+(2y)

2

+(−4z)

2

+2(3x)(2y)+2(2y)(−4z)+2(−4z)(3x)

=(3x+2y−4z)

2

=(3x+2y−4z)(3x+2y−4z)