Mathematics: Factor: a^2+b^2–c^2+2ab

Factor: a^2+b^2–c^2+2ab - id22228064838, meaddestinee

deonte4807

04.02.2022

(a + b + c)(a + b - c)

Step-by-step explanation:

Use of formula:

(a+b)^2 = a^2 + 2ab + b^2a^2 - b^2 = (a + b)(a - b)

Factoring the expression

a^2 + b^2 – c^2 + 2ab =(a^2 + 2ab + b^2) - c^2 = (a + b)^2 - c^2 =(a + b + c)(a + b - c)

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kevin733

25.12.2022

$\bar{x} = 115.74$

Step-by-step explanation:

We are given the following sample in the question:

115.8, 116.5, 116.1, 115.5, 114.8

Formula:

$Mean = \displaystyle\frac{\text{Sum of all observations}}{\text{Total number of observation}}$

$\bar{x} =\displaystyle\frac{578.7}{5} = 115.74$

Deviations from mean:

$x_i-\bar{x}\\\\115.8 - 115.74 =0.06\\116.5 - 115.74 = 0.76\\116.1 - 115.74 = 0.36\\115.5 - 115.74 = -0.24\\114.8 - 115.74 = -0.94$

Sum of Deviations =

0.06 + 0.76 + 0.36 - 0.24 - 0.94 = 0

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