Math, asked by khan3538, 1 year ago

What is the formula to find alpha minus beta whole squared

Answers

Answered by gratefuljarette
13

The formula for \bold{(\alpha-\beta)^{2}=\alpha^{2}+\beta^{2}-2 \times \alpha \times \beta}

To find:

The formula for (\alpha-\beta)^{2}

Solution:  

We know that according to algebraic expression,(a+b)^{2}=a^{2}+b^{2}+2 \times a \times b \rightarrow(2)

Similarly,(a-b)^{2}=a^{2}+b^{2}-2 \times a \times b \rightarrow(2)

Here a=\alpha, b=\beta

substitute the values for a and b in the above equation (2) ,  

Hence,(\alpha-\beta)^{2}=\alpha^{2}+\beta^{2}-2 \times \alpha \times \beta \rightarrow(3)

The above equation represents the formula for subtracting any two terms when they are squared,

Therefore, the value of (\alpha-\beta)^{2}=\alpha^{2}+\beta^{2}-2 \times \alpha \times \beta

Answered by mysticd
2

Answer:

(\alpha-\beta)^{2}=\alpha^{2}+\beta^{2}-2\alpha\beta

Step-by-step explanation:

/* We know the algebraic identity:

\boxed {(a-b)^{2}=a^{2}+b^{2}-2ab}

Here,

(\alpha-\beta)^{2}=\alpha^{2}+\beta^{2}-2\alpha\beta

•••♪

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