Question

3. Factorise the following:
(1) 41° +9y' +252 + 12xy +30yz +30xz
​

Answer 1

Step-by-step explanation:

We have

4x

2

+9y

2

+25z

2

−12xy−30yz+20zx

=[(2x)

2

+(−3y)

2

+(5z)

2

+2(2x)(−3y)+2(−3y)(5z)+2(5z)(2x)]

Comparing with the identity V,

(x+y+z)

2

≡x

2

+y

2

+z

2

+2xy+2yz+2zx, we get

=(2x−3y+5z)

2

=(2x−3y+5z)(2x−3y+5z).