Respuesta :
An expression is defined as a set of numbers, variables, and mathematical operations. The value of (a + b+ c) is 14.
What is an Expression?
In mathematics, an expression is defined as a set of numbers, variables, and mathematical operations formed according to rules dependent on the context.
1.) The expansion of (x+y+z)² can be done as shown below,
(x + y + z)² = x² + y² + z² + 2(xy + yz + xz)
If you substitute the value of x as 2a, y as -3b, and z as 5c, then,
(2a - 3b +5c)² = 4a² + 9b² + 25c² - 12ab - 30bc + 20ac
2.) if a² + b² + c² = 74 and ab + bc + ca = 61, find the value of a + b+ c.
Since (x + y + z)² = x² + y² + z² + 2(xy + yz + xz) therefore,
(a + b + c)² = 74 + 2(61)
(a + b + c) = √196
(a + b + c) = 14
Hence, the value of (a + b+ c) is 14.
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