The value of the given expression (x² + 9y² + 4z² - 6xy + 12yz -4zx) when x = -2, y = -3, and z = -4 is equal to 32.
What is an expression?
An expression can be defined as a mathematical equation which is used to show the relationship existing between two or more variables and numerical quantities.
Given the following variables:
Substituting the given variables into the given expression, we have;
Expression = x² + 9y² + 4z² - 6xy + 12yz -4zx
Expression = (-2)² + 9(-3)² + 4(-4)² - 6(-2)(-3) + 12(-3)(-4) -4(-4)(-2)
Expression = 4 + 9(9) + 4(16) - 36 + 144 - 32
Expression = 4 + 81 + 64 - 36 + 144 - 32
Expression = 32.
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Complete Question:
What is the value of x² + 9y² + 4z² - 6xy + 12yz -4zx. If x = -2, y = -3, and z = -4?
