Question

9x2 +25y2 + z2 – 30 xy + 10 yz – 6xz.

Answer 1

Step-by-step explanation:

By the identity, we know that...

${(x + y + z)}^{2} = {x}^{2} + {y}^{2} + {z}^{2} + 2xy + 2yz + 2xz$

Comparing the given equation with the identity.... We can evaluate the equation as...

${( - 3x)}^{2} + {(5y)}^{2} + {z}^{2} + 2( - 3x)(5y) + 2(5y)(z) + 2( - 3x)(z)$

Therefore, equating further with the identity, we get,

$9 {x}^{2} + 25 {y}^{2} + {z}^{2} - 30xy + 10yz + - 6xz = {( - 3x + 5y + z)}^{2}$

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