Question

b) 9x2 + 25y2 + 4z2 - 30xy - 20yz + 12zx​

Answer 1

Step-by-step explanation:

$= 9 {x}^{2} + 25 {y}^{2} + 4 {z}^{2} - 30xy - 20yz + 12zx$

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

using formula

${(a + b + c)}^{2} = {a}^{2} + {b}^{2} + {c}^{2} + 2ab + 2bc + 2ca$

we get

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

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