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What is the form of the Difference of Squares identity?O A. a? - b - (a - b)(a - b)B. 22 - 62 = (a + b)(a + b)C. 22 - 61 = (a + b)(a - b)D. 3° +6+ = (2-b)(a - b)

What is the form of the Difference of Squares identityO A a b a ba bB 22 62 a ba bC 22 61 a ba bD 3 6 2ba b class=

Respuesta :

The difference of squares identity can be expressed as

[tex]a^2-b^2=(a-b)(a+b)[/tex]

this is because when expanding the expression on the left the term ab needs to be cancelled like this

[tex]\begin{gathered} (a-b)(a+b)=a\cdot a+a\cdot b-a\cdot b-b\cdot b \\ =a^2+ab-ab-b^2 \\ =a^2-b^2 \end{gathered}[/tex]

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