2. Polynomials
hard

निम्नलिखित के गुणनखंड कीजिए

$25 x^{2}+16 y^{2}+4 z^{2}-40 x y+16 y z-20 x z$

Option A
Option B
Option C
Option D

Solution

$25 x^{2}+16 y^{2}+4 z^{2}-40 x y+16 y z-20 x z$

$=(-5 x)^{2}+(4 y)^{2}+(2 z)^{2}+2 \cdot(-5 x)(4 y)+2(4 y)(2 z)+2(2 z)(-5 x)$

$=(-5 x+4 y+2 z)^{2}$

Standard 9
Mathematics

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