factorise
9x² + 4y² + 16z² + 12xy - 16yz - 24xz
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HERE IS YOUR ANSWER...........
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9x^2+4y^2+16z^2+12xy-16yz-24xz
==>>(3x)^2+(2x)^2+(4z)^2+{2(3x)(2y)}-{2(2y)(4z} -{2(4z)(3x)
We know that
(a+b+c)^2=a^2+b^2+c^2+2ab+2bc+2ca
It is of that form only and in this sum we see the subtraction in y at xy and yz. So y only has subraction symbol
===>>[2x-3y+4z]^2
_________________________________
HOPE MY ANSWER WOULD HELP YOU
REGARD MADHU@
HERE IS YOUR ANSWER...........
________________________________
9x^2+4y^2+16z^2+12xy-16yz-24xz
==>>(3x)^2+(2x)^2+(4z)^2+{2(3x)(2y)}-{2(2y)(4z} -{2(4z)(3x)
We know that
(a+b+c)^2=a^2+b^2+c^2+2ab+2bc+2ca
It is of that form only and in this sum we see the subtraction in y at xy and yz. So y only has subraction symbol
===>>[2x-3y+4z]^2
_________________________________
HOPE MY ANSWER WOULD HELP YOU
REGARD MADHU@
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