Math, asked by sturheama1366, 4 hours ago

15. Factorise the following.
(i)9x^2+4y^2+16z^2+12xy-16yz-24xz
(ii) 25x² +16y^2 +4z^2 – 40xy +16yz- 20xz​

Answers

Answered by tudunisha9
0

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)

Hence facorise.

Formula:

(a+b+c)

2

=a

2

+b

2

+c

2

+2ab+2bc+2ca

Answered by aamirbhat054
0

Answer:

Answer

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)

Hence facorise.

Formula:

(a+b+c)

2

=a

2

+b

2

+c

2

+2ab+2bc+2ca

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