Question

factorise 9x^2+16y^2+4z^2-24xy-16yz+12zx​

Answer 1

>>Factorise : 9x^2 + 16y^2 + 4z^2 - 24xy

Question

Bookmark

Factorise : 9x

2

+16y

2

+4z

2

−24xy+16yz−12xz

Medium

Solution

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Given : 9x

2

+16y

2

+4z

2

−24xy+16yz−12xz

According to the equation,

(a+b+c)

2

=a

2

+b

2

+c

2

+2ab+2bc+2ca

So we get,

Using the formula we can it write it as

9x

2

+16y

2

+4z

2

−24xy+16yz−12xz=(−3x)

2

+(4y)

2

+(2z)

2

+2(−3x)(4y)+2(4y)(2z)+2(2z)(−3x)

On further calculation we get,

9x

2

+16y

2

+4z

2

−24xy+16yz−12xz=(−3x+4y+2z)

2

It can be written as

9x

2

+16y

2

+4z

2

−24xy+16yz−12xz=(−3x+4y+2z)(−3x+4y+2z)