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first answer
Given, 6x2−5x−6
=6x2−9x+4x−6
=3x(2x−3)+2(2x−3)
=(3x+2)(2x−3)
2nd answer
Given : 4x2+9y2+16z2+12xy−24yz−16zx
According to the equation,
(a+b+c)2=a2+b2+c2+2ab+2bc+2ca
So we get,
Using the formula we can it arite it as
4x2+9y2+16z2+12xy−24yz−16zx=(2x)2+(3y)2+(−4z)2+2(2x)(3y)+2(3y)(−4z)+2(2x)(−4z)
On further calculation we get,
4x2+9y2+16z2+12xy−24yz−16zx=(2x+3y−4z)2
It can be written as
4x2+9y2+16z2+12xy−24yz−16zx=(2x+3y−4z)(2x+3y−4z)
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