Math, asked by DHANANJAYNAIK6952, 9 months ago

16 X square + 4 y square + 9 z square - 16 X Y - 12 y square + 24 x z

Answers

Answered by PreranaMajukar
1

Answer:

Given : 16x

2

+4y

2

+9z

2

−16xy−12yz+24xz

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

16x

2

+4y

2

+9z

2

−16xy−12yz+24xz=(4x)

2

+(−2y)

2

+(3z)

2

+2(−2y)(3z)+2(−2y)(3z)+2(3z)(4x)

On further calculation we get,

16x

2

+4y

2

+9z

2

−16xy−12yz+24xz=(4x+(−2y)+3z)

2

It can be written as

16x

2

+4y

2

+9z

2

−16xy−12yz+24xz=(4x−2y+3z)(4x−2y+3z)

Step-by-step explanation:

hope this answer may help u

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